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Finding the Third Proportional to 5,750,657,724 and 8,217,839,466

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Solution

The third proportional to 5,750,657,724 and 8,217,839,466 is: 11,743,506,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750,657,724 : 8,217,839,466 = 8,217,839,466 : x
  2. Step 2: Convert to fraction form
    5,750,657,724/8,217,839,466 = 8,217,839,466/x
  3. Step 3: Cross multiply
    5,750,657,724x = 8,217,839,466 × 8,217,839,466
  4. Step 4: Simplify right side
    5,750,657,724x = 67,532,885,488,947,167,232
  5. Step 5: Solve for x
    x = 67,532,885,488,947,167,232/5,750,657,724
  6. Step 6: Final answer
    x = 11,743,506,348.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.