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Finding the Third Proportional to 81,447,984 and 175,648,464

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Solution

The third proportional to 81,447,984 and 175,648,464 is: 378,798,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,447,984 : 175,648,464 = 175,648,464 : x
  2. Step 2: Convert to fraction form
    81,447,984/175,648,464 = 175,648,464/x
  3. Step 3: Cross multiply
    81,447,984x = 175,648,464 × 175,648,464
  4. Step 4: Simplify right side
    81,447,984x = 30,852,382,905,559,296
  5. Step 5: Solve for x
    x = 30,852,382,905,559,296/81,447,984
  6. Step 6: Final answer
    x = 378,798,607.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.