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Finding the Third Proportional to 333,831,074 and 717,024,160

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Solution

The third proportional to 333,831,074 and 717,024,160 is: 1,540,071,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,831,074 : 717,024,160 = 717,024,160 : x
  2. Step 2: Convert to fraction form
    333,831,074/717,024,160 = 717,024,160/x
  3. Step 3: Cross multiply
    333,831,074x = 717,024,160 × 717,024,160
  4. Step 4: Simplify right side
    333,831,074x = 514,123,646,023,705,600
  5. Step 5: Solve for x
    x = 514,123,646,023,705,600/333,831,074
  6. Step 6: Final answer
    x = 1,540,071,269.77

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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.