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Finding the Third Proportional to 9,856,951.13 and 21,572,088.38

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Solution

The third proportional to 9,856,951.13 and 21,572,088.38 is: 47,210,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856,951.13 : 21,572,088.38 = 21,572,088.38 : x
  2. Step 2: Convert to fraction form
    9,856,951.13/21,572,088.38 = 21,572,088.38/x
  3. Step 3: Cross multiply
    9,856,951.13x = 21,572,088.38 × 21,572,088.38
  4. Step 4: Simplify right side
    9,856,951.13x = 465,354,996,858,810.12
  5. Step 5: Solve for x
    x = 465,354,996,858,810.12/9,856,951.13
  6. Step 6: Final answer
    x = 47,210,845.52

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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.