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Finding the Third Proportional to 54,539,274.50 and 82,374,486

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Solution

The third proportional to 54,539,274.50 and 82,374,486 is: 124,415,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,539,274.50 : 82,374,486 = 82,374,486 : x
  2. Step 2: Convert to fraction form
    54,539,274.50/82,374,486 = 82,374,486/x
  3. Step 3: Cross multiply
    54,539,274.50x = 82,374,486 × 82,374,486
  4. Step 4: Simplify right side
    54,539,274.50x = 6,785,555,943,764,196
  5. Step 5: Solve for x
    x = 6,785,555,943,764,196/54,539,274.50
  6. Step 6: Final answer
    x = 124,415,955.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.