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Finding the Third Proportional to 322,791,377 and 690,459,994

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Solution

The third proportional to 322,791,377 and 690,459,994 is: 1,476,913,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,791,377 : 690,459,994 = 690,459,994 : x
  2. Step 2: Convert to fraction form
    322,791,377/690,459,994 = 690,459,994/x
  3. Step 3: Cross multiply
    322,791,377x = 690,459,994 × 690,459,994
  4. Step 4: Simplify right side
    322,791,377x = 476,735,003,314,480,064
  5. Step 5: Solve for x
    x = 476,735,003,314,480,064/322,791,377
  6. Step 6: Final answer
    x = 1,476,913,688.79

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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.