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Finding the Third Proportional to 16,142,712.75 and 24,513,019.88

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Solution

The third proportional to 16,142,712.75 and 24,513,019.88 is: 37,223,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142,712.75 : 24,513,019.88 = 24,513,019.88 : x
  2. Step 2: Convert to fraction form
    16,142,712.75/24,513,019.88 = 24,513,019.88/x
  3. Step 3: Cross multiply
    16,142,712.75x = 24,513,019.88 × 24,513,019.88
  4. Step 4: Simplify right side
    16,142,712.75x = 600,888,143,392,145
  5. Step 5: Solve for x
    x = 600,888,143,392,145/16,142,712.75
  6. Step 6: Final answer
    x = 37,223,492.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.