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Finding the Third Proportional to 6,387,762,024 and 13,900,329,720

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Solution

The third proportional to 6,387,762,024 and 13,900,329,720 is: 30,248,335,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387,762,024 : 13,900,329,720 = 13,900,329,720 : x
  2. Step 2: Convert to fraction form
    6,387,762,024/13,900,329,720 = 13,900,329,720/x
  3. Step 3: Cross multiply
    6,387,762,024x = 13,900,329,720 × 13,900,329,720
  4. Step 4: Simplify right side
    6,387,762,024x = 193,219,166,324,715,290,624
  5. Step 5: Solve for x
    x = 193,219,166,324,715,290,624/6,387,762,024
  6. Step 6: Final answer
    x = 30,248,335,113.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.