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Finding the Third Proportional to 14,197,102 and 30,881,681

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Solution

The third proportional to 14,197,102 and 30,881,681 is: 67,174,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197,102 : 30,881,681 = 30,881,681 : x
  2. Step 2: Convert to fraction form
    14,197,102/30,881,681 = 30,881,681/x
  3. Step 3: Cross multiply
    14,197,102x = 30,881,681 × 30,881,681
  4. Step 4: Simplify right side
    14,197,102x = 953,678,221,385,761
  5. Step 5: Solve for x
    x = 953,678,221,385,761/14,197,102
  6. Step 6: Final answer
    x = 67,174,147.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.