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Finding the Third Proportional to 432,175,138.51 and 929,897,617.18

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Solution

The third proportional to 432,175,138.51 and 929,897,617.18 is: 2,000,831,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,175,138.51 : 929,897,617.18 = 929,897,617.18 : x
  2. Step 2: Convert to fraction form
    432,175,138.51/929,897,617.18 = 929,897,617.18/x
  3. Step 3: Cross multiply
    432,175,138.51x = 929,897,617.18 × 929,897,617.18
  4. Step 4: Simplify right side
    432,175,138.51x = 864,709,578,443,681,408
  5. Step 5: Solve for x
    x = 864,709,578,443,681,408/432,175,138.51
  6. Step 6: Final answer
    x = 2,000,831,379.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.