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Finding the Third Proportional to 616,155,181 and 1,370,073,865.50

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Solution

The third proportional to 616,155,181 and 1,370,073,865.50 is: 3,046,476,690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,155,181 : 1,370,073,865.50 = 1,370,073,865.50 : x
  2. Step 2: Convert to fraction form
    616,155,181/1,370,073,865.50 = 1,370,073,865.50/x
  3. Step 3: Cross multiply
    616,155,181x = 1,370,073,865.50 × 1,370,073,865.50
  4. Step 4: Simplify right side
    616,155,181x = 1,877,102,396,926,112,000
  5. Step 5: Solve for x
    x = 1,877,102,396,926,112,000/616,155,181
  6. Step 6: Final answer
    x = 3,046,476,690.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.