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Finding the Third Proportional to 12,485,972,290 and 29,464,659,784

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Solution

The third proportional to 12,485,972,290 and 29,464,659,784 is: 69,531,323,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485,972,290 : 29,464,659,784 = 29,464,659,784 : x
  2. Step 2: Convert to fraction form
    12,485,972,290/29,464,659,784 = 29,464,659,784/x
  3. Step 3: Cross multiply
    12,485,972,290x = 29,464,659,784 × 29,464,659,784
  4. Step 4: Simplify right side
    12,485,972,290x = 868,166,176,186,866,991,104
  5. Step 5: Solve for x
    x = 868,166,176,186,866,991,104/12,485,972,290
  6. Step 6: Final answer
    x = 69,531,323,314.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.