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Finding the Third Proportional to 14,365,858,484 and 33,565,127,549

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Solution

The third proportional to 14,365,858,484 and 33,565,127,549 is: 78,423,283,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365,858,484 : 33,565,127,549 = 33,565,127,549 : x
  2. Step 2: Convert to fraction form
    14,365,858,484/33,565,127,549 = 33,565,127,549/x
  3. Step 3: Cross multiply
    14,365,858,484x = 33,565,127,549 × 33,565,127,549
  4. Step 4: Simplify right side
    14,365,858,484x = 1,126,617,787,380,638,810,112
  5. Step 5: Solve for x
    x = 1,126,617,787,380,638,810,112/14,365,858,484
  6. Step 6: Final answer
    x = 78,423,283,135.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.