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Finding the Third Proportional to 1,154,211,273 and 2,340,539,824.50

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Solution

The third proportional to 1,154,211,273 and 2,340,539,824.50 is: 4,746,207,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,211,273 : 2,340,539,824.50 = 2,340,539,824.50 : x
  2. Step 2: Convert to fraction form
    1,154,211,273/2,340,539,824.50 = 2,340,539,824.50/x
  3. Step 3: Cross multiply
    1,154,211,273x = 2,340,539,824.50 × 2,340,539,824.50
  4. Step 4: Simplify right side
    1,154,211,273x = 5,478,126,670,070,491,136
  5. Step 5: Solve for x
    x = 5,478,126,670,070,491,136/1,154,211,273
  6. Step 6: Final answer
    x = 4,746,207,906.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.