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Finding the Third Proportional to 45,402,120 and 99,634,320

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Solution

The third proportional to 45,402,120 and 99,634,320 is: 218,646,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402,120 : 99,634,320 = 99,634,320 : x
  2. Step 2: Convert to fraction form
    45,402,120/99,634,320 = 99,634,320/x
  3. Step 3: Cross multiply
    45,402,120x = 99,634,320 × 99,634,320
  4. Step 4: Simplify right side
    45,402,120x = 9,926,997,721,862,400
  5. Step 5: Solve for x
    x = 9,926,997,721,862,400/45,402,120
  6. Step 6: Final answer
    x = 218,646,127.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.