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Finding the Third Proportional to 13,913,742 and 21,665,700

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Solution

The third proportional to 13,913,742 and 21,665,700 is: 33,736,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913,742 : 21,665,700 = 21,665,700 : x
  2. Step 2: Convert to fraction form
    13,913,742/21,665,700 = 21,665,700/x
  3. Step 3: Cross multiply
    13,913,742x = 21,665,700 × 21,665,700
  4. Step 4: Simplify right side
    13,913,742x = 469,402,556,490,000
  5. Step 5: Solve for x
    x = 469,402,556,490,000/13,913,742
  6. Step 6: Final answer
    x = 33,736,614.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.