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Finding the Third Proportional to 45,078,694.13 and 71,438,056.88

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Solution

The third proportional to 45,078,694.13 and 71,438,056.88 is: 113,210,820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,078,694.13 : 71,438,056.88 = 71,438,056.88 : x
  2. Step 2: Convert to fraction form
    45,078,694.13/71,438,056.88 = 71,438,056.88/x
  3. Step 3: Cross multiply
    45,078,694.13x = 71,438,056.88 × 71,438,056.88
  4. Step 4: Simplify right side
    45,078,694.13x = 5,103,395,970,075,735
  5. Step 5: Solve for x
    x = 5,103,395,970,075,735/45,078,694.13
  6. Step 6: Final answer
    x = 113,210,820.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.