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Finding the Third Proportional to 824,734,564,070 and 1,775,514,242,630

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Solution

The third proportional to 824,734,564,070 and 1,775,514,242,630 is: 3,822,382,331,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,734,564,070 : 1,775,514,242,630 = 1,775,514,242,630 : x
  2. Step 2: Convert to fraction form
    824,734,564,070/1,775,514,242,630 = 1,775,514,242,630/x
  3. Step 3: Cross multiply
    824,734,564,070x = 1,775,514,242,630 × 1,775,514,242,630
  4. Step 4: Simplify right side
    824,734,564,070x = 3,152,450,825,781,982,758,174,720
  5. Step 5: Solve for x
    x = 3,152,450,825,781,982,758,174,720/824,734,564,070
  6. Step 6: Final answer
    x = 3,822,382,331,382.94

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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.