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Finding the Third Proportional to 9,115,897.50 and 19,745,200.13

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Solution

The third proportional to 9,115,897.50 and 19,745,200.13 is: 42,768,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115,897.50 : 19,745,200.13 = 19,745,200.13 : x
  2. Step 2: Convert to fraction form
    9,115,897.50/19,745,200.13 = 19,745,200.13/x
  3. Step 3: Cross multiply
    9,115,897.50x = 19,745,200.13 × 19,745,200.13
  4. Step 4: Simplify right side
    9,115,897.50x = 389,872,927,976,300
  5. Step 5: Solve for x
    x = 389,872,927,976,300/9,115,897.50
  6. Step 6: Final answer
    x = 42,768,463.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.