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Finding the Third Proportional to 56,671,086,142 and 124,017,811,581

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Solution

The third proportional to 56,671,086,142 and 124,017,811,581 is: 271,397,967,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,671,086,142 : 124,017,811,581 = 124,017,811,581 : x
  2. Step 2: Convert to fraction form
    56,671,086,142/124,017,811,581 = 124,017,811,581/x
  3. Step 3: Cross multiply
    56,671,086,142x = 124,017,811,581 × 124,017,811,581
  4. Step 4: Simplify right side
    56,671,086,142x = 15,380,417,589,340,417,294,336
  5. Step 5: Solve for x
    x = 15,380,417,589,340,417,294,336/56,671,086,142
  6. Step 6: Final answer
    x = 271,397,967,400.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.