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Finding the Third Proportional to 4,686,514 and 7,501,475

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Solution

The third proportional to 4,686,514 and 7,501,475 is: 12,007,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686,514 : 7,501,475 = 7,501,475 : x
  2. Step 2: Convert to fraction form
    4,686,514/7,501,475 = 7,501,475/x
  3. Step 3: Cross multiply
    4,686,514x = 7,501,475 × 7,501,475
  4. Step 4: Simplify right side
    4,686,514x = 56,272,127,175,625
  5. Step 5: Solve for x
    x = 56,272,127,175,625/4,686,514
  6. Step 6: Final answer
    x = 12,007,246.15

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.