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Finding the Third Proportional to 30,044,400.75 and 64,878,169.50

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Solution

The third proportional to 30,044,400.75 and 64,878,169.50 is: 140,098,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,044,400.75 : 64,878,169.50 = 64,878,169.50 : x
  2. Step 2: Convert to fraction form
    30,044,400.75/64,878,169.50 = 64,878,169.50/x
  3. Step 3: Cross multiply
    30,044,400.75x = 64,878,169.50 × 64,878,169.50
  4. Step 4: Simplify right side
    30,044,400.75x = 4,209,176,877,670,730
  5. Step 5: Solve for x
    x = 4,209,176,877,670,730/30,044,400.75
  6. Step 6: Final answer
    x = 140,098,546.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.