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Finding the Third Proportional to 36,513,536 and 77,101,454

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Solution

The third proportional to 36,513,536 and 77,101,454 is: 162,806,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,513,536 : 77,101,454 = 77,101,454 : x
  2. Step 2: Convert to fraction form
    36,513,536/77,101,454 = 77,101,454/x
  3. Step 3: Cross multiply
    36,513,536x = 77,101,454 × 77,101,454
  4. Step 4: Simplify right side
    36,513,536x = 5,944,634,208,914,116
  5. Step 5: Solve for x
    x = 5,944,634,208,914,116/36,513,536
  6. Step 6: Final answer
    x = 162,806,314.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.