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Finding the Third Proportional to 349,376,452 and 747,831,988

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Solution

The third proportional to 349,376,452 and 747,831,988 is: 1,600,716,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,376,452 : 747,831,988 = 747,831,988 : x
  2. Step 2: Convert to fraction form
    349,376,452/747,831,988 = 747,831,988/x
  3. Step 3: Cross multiply
    349,376,452x = 747,831,988 × 747,831,988
  4. Step 4: Simplify right side
    349,376,452x = 559,252,682,276,032,128
  5. Step 5: Solve for x
    x = 559,252,682,276,032,128/349,376,452
  6. Step 6: Final answer
    x = 1,600,716,588.29

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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.