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Finding the Third Proportional to 349,376,364 and 747,831,051

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Solution

The third proportional to 349,376,364 and 747,831,051 is: 1,600,712,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,376,364 : 747,831,051 = 747,831,051 : x
  2. Step 2: Convert to fraction form
    349,376,364/747,831,051 = 747,831,051/x
  3. Step 3: Cross multiply
    349,376,364x = 747,831,051 × 747,831,051
  4. Step 4: Simplify right side
    349,376,364x = 559,251,280,839,764,608
  5. Step 5: Solve for x
    x = 559,251,280,839,764,608/349,376,364
  6. Step 6: Final answer
    x = 1,600,712,980.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.