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Finding the Third Proportional to 547,693,500 and 1,217,843,448

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Solution

The third proportional to 547,693,500 and 1,217,843,448 is: 2,707,979,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,693,500 : 1,217,843,448 = 1,217,843,448 : x
  2. Step 2: Convert to fraction form
    547,693,500/1,217,843,448 = 1,217,843,448/x
  3. Step 3: Cross multiply
    547,693,500x = 1,217,843,448 × 1,217,843,448
  4. Step 4: Simplify right side
    547,693,500x = 1,483,142,663,836,528,640
  5. Step 5: Solve for x
    x = 1,483,142,663,836,528,640/547,693,500
  6. Step 6: Final answer
    x = 2,707,979,305.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.