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Finding the Third Proportional to 649,573,126,706 and 1,352,603,374,024

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Solution

The third proportional to 649,573,126,706 and 1,352,603,374,024 is: 2,816,520,284,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,573,126,706 : 1,352,603,374,024 = 1,352,603,374,024 : x
  2. Step 2: Convert to fraction form
    649,573,126,706/1,352,603,374,024 = 1,352,603,374,024/x
  3. Step 3: Cross multiply
    649,573,126,706x = 1,352,603,374,024 × 1,352,603,374,024
  4. Step 4: Simplify right side
    649,573,126,706x = 1,829,535,887,421,108,744,355,840
  5. Step 5: Solve for x
    x = 1,829,535,887,421,108,744,355,840/649,573,126,706
  6. Step 6: Final answer
    x = 2,816,520,284,172.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.