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Finding the Third Proportional to 444,564,706,716 and 599,822,165,560.50

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Solution

The third proportional to 444,564,706,716 and 599,822,165,560.50 is: 809,300,929,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,564,706,716 : 599,822,165,560.50 = 599,822,165,560.50 : x
  2. Step 2: Convert to fraction form
    444,564,706,716/599,822,165,560.50 = 599,822,165,560.50/x
  3. Step 3: Cross multiply
    444,564,706,716x = 599,822,165,560.50 × 599,822,165,560.50
  4. Step 4: Simplify right side
    444,564,706,716x = 359,786,630,297,687,875,911,680
  5. Step 5: Solve for x
    x = 359,786,630,297,687,875,911,680/444,564,706,716
  6. Step 6: Final answer
    x = 809,300,929,341.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.