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Finding the Third Proportional to 54,044,097 and 83,651,179

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Solution

The third proportional to 54,044,097 and 83,651,179 is: 129,477,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,044,097 : 83,651,179 = 83,651,179 : x
  2. Step 2: Convert to fraction form
    54,044,097/83,651,179 = 83,651,179/x
  3. Step 3: Cross multiply
    54,044,097x = 83,651,179 × 83,651,179
  4. Step 4: Simplify right side
    54,044,097x = 6,997,519,748,090,041
  5. Step 5: Solve for x
    x = 6,997,519,748,090,041/54,044,097
  6. Step 6: Final answer
    x = 129,477,965.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.