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Finding the Third Proportional to 6,172,417.69 and 9,169,210.13

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Solution

The third proportional to 6,172,417.69 and 9,169,210.13 is: 13,620,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172,417.69 : 9,169,210.13 = 9,169,210.13 : x
  2. Step 2: Convert to fraction form
    6,172,417.69/9,169,210.13 = 9,169,210.13/x
  3. Step 3: Cross multiply
    6,172,417.69x = 9,169,210.13 × 9,169,210.13
  4. Step 4: Simplify right side
    6,172,417.69x = 84,074,414,316,402.52
  5. Step 5: Solve for x
    x = 84,074,414,316,402.52/6,172,417.69
  6. Step 6: Final answer
    x = 13,620,985.90

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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.