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Finding the Third Proportional to 13,829,604,448 and 29,756,723,780

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Solution

The third proportional to 13,829,604,448 and 29,756,723,780 is: 64,026,604,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829,604,448 : 29,756,723,780 = 29,756,723,780 : x
  2. Step 2: Convert to fraction form
    13,829,604,448/29,756,723,780 = 29,756,723,780/x
  3. Step 3: Cross multiply
    13,829,604,448x = 29,756,723,780 × 29,756,723,780
  4. Step 4: Simplify right side
    13,829,604,448x = 885,462,610,119,217,512,448
  5. Step 5: Solve for x
    x = 885,462,610,119,217,512,448/13,829,604,448
  6. Step 6: Final answer
    x = 64,026,604,191.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.