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Finding the Third Proportional to 702,428,126 and 1,561,908,088

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Solution

The third proportional to 702,428,126 and 1,561,908,088 is: 3,473,034,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,428,126 : 1,561,908,088 = 1,561,908,088 : x
  2. Step 2: Convert to fraction form
    702,428,126/1,561,908,088 = 1,561,908,088/x
  3. Step 3: Cross multiply
    702,428,126x = 1,561,908,088 × 1,561,908,088
  4. Step 4: Simplify right side
    702,428,126x = 2,439,556,875,359,815,680
  5. Step 5: Solve for x
    x = 2,439,556,875,359,815,680/702,428,126
  6. Step 6: Final answer
    x = 3,473,034,158.32

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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.