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Finding the Third Proportional to 537,021,172 and 802,224,437

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Solution

The third proportional to 537,021,172 and 802,224,437 is: 1,198,396,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,021,172 : 802,224,437 = 802,224,437 : x
  2. Step 2: Convert to fraction form
    537,021,172/802,224,437 = 802,224,437/x
  3. Step 3: Cross multiply
    537,021,172x = 802,224,437 × 802,224,437
  4. Step 4: Simplify right side
    537,021,172x = 643,564,047,319,966,976
  5. Step 5: Solve for x
    x = 643,564,047,319,966,976/537,021,172
  6. Step 6: Final answer
    x = 1,198,396,042.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.