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Finding the Third Proportional to 707,818,446 and 1,098,994,153.50

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Solution

The third proportional to 707,818,446 and 1,098,994,153.50 is: 1,706,353,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,818,446 : 1,098,994,153.50 = 1,098,994,153.50 : x
  2. Step 2: Convert to fraction form
    707,818,446/1,098,994,153.50 = 1,098,994,153.50/x
  3. Step 3: Cross multiply
    707,818,446x = 1,098,994,153.50 × 1,098,994,153.50
  4. Step 4: Simplify right side
    707,818,446x = 1,207,788,149,427,181,568
  5. Step 5: Solve for x
    x = 1,207,788,149,427,181,568/707,818,446
  6. Step 6: Final answer
    x = 1,706,353,029.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.