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Finding the Third Proportional to 4,744,151,145 and 6,941,590,659

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Solution

The third proportional to 4,744,151,145 and 6,941,590,659 is: 10,156,860,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,151,145 : 6,941,590,659 = 6,941,590,659 : x
  2. Step 2: Convert to fraction form
    4,744,151,145/6,941,590,659 = 6,941,590,659/x
  3. Step 3: Cross multiply
    4,744,151,145x = 6,941,590,659 × 6,941,590,659
  4. Step 4: Simplify right side
    4,744,151,145x = 48,185,680,877,116,055,552
  5. Step 5: Solve for x
    x = 48,185,680,877,116,055,552/4,744,151,145
  6. Step 6: Final answer
    x = 10,156,860,395.96

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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.