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Finding the Third Proportional to 13,983,087,942 and 29,960,671,122

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Solution

The third proportional to 13,983,087,942 and 29,960,671,122 is: 64,194,820,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983,087,942 : 29,960,671,122 = 29,960,671,122 : x
  2. Step 2: Convert to fraction form
    13,983,087,942/29,960,671,122 = 29,960,671,122/x
  3. Step 3: Cross multiply
    13,983,087,942x = 29,960,671,122 × 29,960,671,122
  4. Step 4: Simplify right side
    13,983,087,942x = 897,641,814,080,644,710,400
  5. Step 5: Solve for x
    x = 897,641,814,080,644,710,400/13,983,087,942
  6. Step 6: Final answer
    x = 64,194,820,042.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.