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Finding the Third Proportional to 702,428,124 and 1,561,908,084

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Solution

The third proportional to 702,428,124 and 1,561,908,084 is: 3,473,034,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,428,124 : 1,561,908,084 = 1,561,908,084 : x
  2. Step 2: Convert to fraction form
    702,428,124/1,561,908,084 = 1,561,908,084/x
  3. Step 3: Cross multiply
    702,428,124x = 1,561,908,084 × 1,561,908,084
  4. Step 4: Simplify right side
    702,428,124x = 2,439,556,862,864,550,912
  5. Step 5: Solve for x
    x = 2,439,556,862,864,550,912/702,428,124
  6. Step 6: Final answer
    x = 3,473,034,150.42

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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.