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Finding the Third Proportional to 7,506,614 and 16,402,725

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Solution

The third proportional to 7,506,614 and 16,402,725 is: 35,841,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506,614 : 16,402,725 = 16,402,725 : x
  2. Step 2: Convert to fraction form
    7,506,614/16,402,725 = 16,402,725/x
  3. Step 3: Cross multiply
    7,506,614x = 16,402,725 × 16,402,725
  4. Step 4: Simplify right side
    7,506,614x = 269,049,387,425,625
  5. Step 5: Solve for x
    x = 269,049,387,425,625/7,506,614
  6. Step 6: Final answer
    x = 35,841,644.11

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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.