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Finding the Third Proportional to 13,506,677,040 and 29,761,244,736

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Solution

The third proportional to 13,506,677,040 and 29,761,244,736 is: 65,577,320,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506,677,040 : 29,761,244,736 = 29,761,244,736 : x
  2. Step 2: Convert to fraction form
    13,506,677,040/29,761,244,736 = 29,761,244,736/x
  3. Step 3: Cross multiply
    13,506,677,040x = 29,761,244,736 × 29,761,244,736
  4. Step 4: Simplify right side
    13,506,677,040x = 885,731,688,236,087,771,136
  5. Step 5: Solve for x
    x = 885,731,688,236,087,771,136/13,506,677,040
  6. Step 6: Final answer
    x = 65,577,320,432.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.