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Finding the Third Proportional to 824,734,564,072 and 1,775,514,242,634

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Solution

The third proportional to 824,734,564,072 and 1,775,514,242,634 is: 3,822,382,331,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,734,564,072 : 1,775,514,242,634 = 1,775,514,242,634 : x
  2. Step 2: Convert to fraction form
    824,734,564,072/1,775,514,242,634 = 1,775,514,242,634/x
  3. Step 3: Cross multiply
    824,734,564,072x = 1,775,514,242,634 × 1,775,514,242,634
  4. Step 4: Simplify right side
    824,734,564,072x = 3,152,450,825,796,186,751,893,504
  5. Step 5: Solve for x
    x = 3,152,450,825,796,186,751,893,504/824,734,564,072
  6. Step 6: Final answer
    x = 3,822,382,331,390.90

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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.