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Finding the Third Proportional to 54,044,095 and 83,651,176

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Solution

The third proportional to 54,044,095 and 83,651,176 is: 129,477,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,044,095 : 83,651,176 = 83,651,176 : x
  2. Step 2: Convert to fraction form
    54,044,095/83,651,176 = 83,651,176/x
  3. Step 3: Cross multiply
    54,044,095x = 83,651,176 × 83,651,176
  4. Step 4: Simplify right side
    54,044,095x = 6,997,519,246,182,976
  5. Step 5: Solve for x
    x = 6,997,519,246,182,976/54,044,095
  6. Step 6: Final answer
    x = 129,477,961.40

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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.