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Finding the Third Proportional to 48,774,984 and 66,434,513.25

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Solution

The third proportional to 48,774,984 and 66,434,513.25 is: 90,487,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,774,984 : 66,434,513.25 = 66,434,513.25 : x
  2. Step 2: Convert to fraction form
    48,774,984/66,434,513.25 = 66,434,513.25/x
  3. Step 3: Cross multiply
    48,774,984x = 66,434,513.25 × 66,434,513.25
  4. Step 4: Simplify right side
    48,774,984x = 4,413,544,550,764,425.50
  5. Step 5: Solve for x
    x = 4,413,544,550,764,425.50/48,774,984
  6. Step 6: Final answer
    x = 90,487,872.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.