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Finding the Third Proportional to 568,465,621 and 1,243,914,746

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Solution

The third proportional to 568,465,621 and 1,243,914,746 is: 2,721,930,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,465,621 : 1,243,914,746 = 1,243,914,746 : x
  2. Step 2: Convert to fraction form
    568,465,621/1,243,914,746 = 1,243,914,746/x
  3. Step 3: Cross multiply
    568,465,621x = 1,243,914,746 × 1,243,914,746
  4. Step 4: Simplify right side
    568,465,621x = 1,547,323,895,316,244,480
  5. Step 5: Solve for x
    x = 1,547,323,895,316,244,480/568,465,621
  6. Step 6: Final answer
    x = 2,721,930,470.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.