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Finding the Third Proportional to 47,881,297.50 and 74,292,118.50

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Solution

The third proportional to 47,881,297.50 and 74,292,118.50 is: 115,270,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881,297.50 : 74,292,118.50 = 74,292,118.50 : x
  2. Step 2: Convert to fraction form
    47,881,297.50/74,292,118.50 = 74,292,118.50/x
  3. Step 3: Cross multiply
    47,881,297.50x = 74,292,118.50 × 74,292,118.50
  4. Step 4: Simplify right side
    47,881,297.50x = 5,519,318,871,218,042
  5. Step 5: Solve for x
    x = 5,519,318,871,218,042/47,881,297.50
  6. Step 6: Final answer
    x = 115,270,871.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.