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Finding the Third Proportional to 71,672,982 and 110,677,905

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Solution

The third proportional to 71,672,982 and 110,677,905 is: 170,909,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,672,982 : 110,677,905 = 110,677,905 : x
  2. Step 2: Convert to fraction form
    71,672,982/110,677,905 = 110,677,905/x
  3. Step 3: Cross multiply
    71,672,982x = 110,677,905 × 110,677,905
  4. Step 4: Simplify right side
    71,672,982x = 12,249,598,655,189,024
  5. Step 5: Solve for x
    x = 12,249,598,655,189,024/71,672,982
  6. Step 6: Final answer
    x = 170,909,571.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.