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Finding the Third Proportional to 3,668,024,788 and 8,056,642,928

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Solution

The third proportional to 3,668,024,788 and 8,056,642,928 is: 17,696,035,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,024,788 : 8,056,642,928 = 8,056,642,928 : x
  2. Step 2: Convert to fraction form
    3,668,024,788/8,056,642,928 = 8,056,642,928/x
  3. Step 3: Cross multiply
    3,668,024,788x = 8,056,642,928 × 8,056,642,928
  4. Step 4: Simplify right side
    3,668,024,788x = 64,909,495,269,292,417,024
  5. Step 5: Solve for x
    x = 64,909,495,269,292,417,024/3,668,024,788
  6. Step 6: Final answer
    x = 17,696,035,065.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.