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Finding the Third Proportional to 564,358,843.13 and 779,841,310.50

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Solution

The third proportional to 564,358,843.13 and 779,841,310.50 is: 1,077,598,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,358,843.13 : 779,841,310.50 = 779,841,310.50 : x
  2. Step 2: Convert to fraction form
    564,358,843.13/779,841,310.50 = 779,841,310.50/x
  3. Step 3: Cross multiply
    564,358,843.13x = 779,841,310.50 × 779,841,310.50
  4. Step 4: Simplify right side
    564,358,843.13x = 608,152,469,562,357,376
  5. Step 5: Solve for x
    x = 608,152,469,562,357,376/564,358,843.13
  6. Step 6: Final answer
    x = 1,077,598,901.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.