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Finding the Third Proportional to 4,767,781.50 and 10,442,530.13

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Solution

The third proportional to 4,767,781.50 and 10,442,530.13 is: 22,871,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767,781.50 : 10,442,530.13 = 10,442,530.13 : x
  2. Step 2: Convert to fraction form
    4,767,781.50/10,442,530.13 = 10,442,530.13/x
  3. Step 3: Cross multiply
    4,767,781.50x = 10,442,530.13 × 10,442,530.13
  4. Step 4: Simplify right side
    4,767,781.50x = 109,046,435,411,532.52
  5. Step 5: Solve for x
    x = 109,046,435,411,532.52/4,767,781.50
  6. Step 6: Final answer
    x = 22,871,525.34

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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.