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Finding the Third Proportional to 54,001,971 and 85,785,925.50

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Solution

The third proportional to 54,001,971 and 85,785,925.50 is: 136,276,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,001,971 : 85,785,925.50 = 85,785,925.50 : x
  2. Step 2: Convert to fraction form
    54,001,971/85,785,925.50 = 85,785,925.50/x
  3. Step 3: Cross multiply
    54,001,971x = 85,785,925.50 × 85,785,925.50
  4. Step 4: Simplify right side
    54,001,971x = 7,359,225,013,891,550
  5. Step 5: Solve for x
    x = 7,359,225,013,891,550/54,001,971
  6. Step 6: Final answer
    x = 136,276,970.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.