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Finding the Third Proportional to 824,734,564,048.12 and 1,775,514,242,590.80

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Solution

The third proportional to 824,734,564,048.12 and 1,775,514,242,590.80 is: 3,822,382,331,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,734,564,048.12 : 1,775,514,242,590.80 = 1,775,514,242,590.80 : x
  2. Step 2: Convert to fraction form
    824,734,564,048.12/1,775,514,242,590.80 = 1,775,514,242,590.80/x
  3. Step 3: Cross multiply
    824,734,564,048.12x = 1,775,514,242,590.80 × 1,775,514,242,590.80
  4. Step 4: Simplify right side
    824,734,564,048.12x = 3,152,450,825,642,782,331,240,448
  5. Step 5: Solve for x
    x = 3,152,450,825,642,782,331,240,448/824,734,564,048.12
  6. Step 6: Final answer
    x = 3,822,382,331,315.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.