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Finding the Third Proportional to 45,877,754 and 97,070,080

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Solution

The third proportional to 45,877,754 and 97,070,080 is: 205,384,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,877,754 : 97,070,080 = 97,070,080 : x
  2. Step 2: Convert to fraction form
    45,877,754/97,070,080 = 97,070,080/x
  3. Step 3: Cross multiply
    45,877,754x = 97,070,080 × 97,070,080
  4. Step 4: Simplify right side
    45,877,754x = 9,422,600,431,206,400
  5. Step 5: Solve for x
    x = 9,422,600,431,206,400/45,877,754
  6. Step 6: Final answer
    x = 205,384,954.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.