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Finding the Third Proportional to 7,650,729.75 and 16,164,985.13

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Solution

The third proportional to 7,650,729.75 and 16,164,985.13 is: 34,154,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650,729.75 : 16,164,985.13 = 16,164,985.13 : x
  2. Step 2: Convert to fraction form
    7,650,729.75/16,164,985.13 = 16,164,985.13/x
  3. Step 3: Cross multiply
    7,650,729.75x = 16,164,985.13 × 16,164,985.13
  4. Step 4: Simplify right side
    7,650,729.75x = 261,306,744,091,471.25
  5. Step 5: Solve for x
    x = 261,306,744,091,471.25/7,650,729.75
  6. Step 6: Final answer
    x = 34,154,486.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.