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Finding the Third Proportional to 45,402,014 and 99,634,108

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Solution

The third proportional to 45,402,014 and 99,634,108 is: 218,645,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402,014 : 99,634,108 = 99,634,108 : x
  2. Step 2: Convert to fraction form
    45,402,014/99,634,108 = 99,634,108/x
  3. Step 3: Cross multiply
    45,402,014x = 99,634,108 × 99,634,108
  4. Step 4: Simplify right side
    45,402,014x = 9,926,955,476,955,664
  5. Step 5: Solve for x
    x = 9,926,955,476,955,664/45,402,014
  6. Step 6: Final answer
    x = 218,645,707.59

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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.