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Finding the Third Proportional to 13,983,087,944 and 29,960,671,126

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Solution

The third proportional to 13,983,087,944 and 29,960,671,126 is: 64,194,820,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983,087,944 : 29,960,671,126 = 29,960,671,126 : x
  2. Step 2: Convert to fraction form
    13,983,087,944/29,960,671,126 = 29,960,671,126/x
  3. Step 3: Cross multiply
    13,983,087,944x = 29,960,671,126 × 29,960,671,126
  4. Step 4: Simplify right side
    13,983,087,944x = 897,641,814,320,330,047,488
  5. Step 5: Solve for x
    x = 897,641,814,320,330,047,488/13,983,087,944
  6. Step 6: Final answer
    x = 64,194,820,050.85

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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.