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Finding the Third Proportional to 272,217,428 and 597,342,616

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Solution

The third proportional to 272,217,428 and 597,342,616 is: 1,310,783,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,217,428 : 597,342,616 = 597,342,616 : x
  2. Step 2: Convert to fraction form
    272,217,428/597,342,616 = 597,342,616/x
  3. Step 3: Cross multiply
    272,217,428x = 597,342,616 × 597,342,616
  4. Step 4: Simplify right side
    272,217,428x = 356,818,200,889,723,456
  5. Step 5: Solve for x
    x = 356,818,200,889,723,456/272,217,428
  6. Step 6: Final answer
    x = 1,310,783,822.74

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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.