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Finding the Third Proportional to 558,683,280 and 1,316,971,962

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Solution

The third proportional to 558,683,280 and 1,316,971,962 is: 3,104,469,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,683,280 : 1,316,971,962 = 1,316,971,962 : x
  2. Step 2: Convert to fraction form
    558,683,280/1,316,971,962 = 1,316,971,962/x
  3. Step 3: Cross multiply
    558,683,280x = 1,316,971,962 × 1,316,971,962
  4. Step 4: Simplify right side
    558,683,280x = 1,734,415,148,694,129,408
  5. Step 5: Solve for x
    x = 1,734,415,148,694,129,408/558,683,280
  6. Step 6: Final answer
    x = 3,104,469,402.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.