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Finding the Third Proportional to 349,376,454 and 747,831,992

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Solution

The third proportional to 349,376,454 and 747,831,992 is: 1,600,716,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,376,454 : 747,831,992 = 747,831,992 : x
  2. Step 2: Convert to fraction form
    349,376,454/747,831,992 = 747,831,992/x
  3. Step 3: Cross multiply
    349,376,454x = 747,831,992 × 747,831,992
  4. Step 4: Simplify right side
    349,376,454x = 559,252,688,258,688,064
  5. Step 5: Solve for x
    x = 559,252,688,258,688,064/349,376,454
  6. Step 6: Final answer
    x = 1,600,716,596.26

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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.