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Finding the Third Proportional to 4,744,151,151 and 6,941,590,668

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Solution

The third proportional to 4,744,151,151 and 6,941,590,668 is: 10,156,860,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,151,151 : 6,941,590,668 = 6,941,590,668 : x
  2. Step 2: Convert to fraction form
    4,744,151,151/6,941,590,668 = 6,941,590,668/x
  3. Step 3: Cross multiply
    4,744,151,151x = 6,941,590,668 × 6,941,590,668
  4. Step 4: Simplify right side
    4,744,151,151x = 48,185,681,002,064,683,008
  5. Step 5: Solve for x
    x = 48,185,681,002,064,683,008/4,744,151,151
  6. Step 6: Final answer
    x = 10,156,860,409.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.