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Finding the Third Proportional to 71,013,486 and 152,996,991

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Solution

The third proportional to 71,013,486 and 152,996,991 is: 329,628,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,013,486 : 152,996,991 = 152,996,991 : x
  2. Step 2: Convert to fraction form
    71,013,486/152,996,991 = 152,996,991/x
  3. Step 3: Cross multiply
    71,013,486x = 152,996,991 × 152,996,991
  4. Step 4: Simplify right side
    71,013,486x = 23,408,079,255,054,080
  5. Step 5: Solve for x
    x = 23,408,079,255,054,080/71,013,486
  6. Step 6: Final answer
    x = 329,628,646.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.