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Finding the Third Proportional to 1,508,668,080 and 2,253,711,312

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Solution

The third proportional to 1,508,668,080 and 2,253,711,312 is: 3,366,687,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508,668,080 : 2,253,711,312 = 2,253,711,312 : x
  2. Step 2: Convert to fraction form
    1,508,668,080/2,253,711,312 = 2,253,711,312/x
  3. Step 3: Cross multiply
    1,508,668,080x = 2,253,711,312 × 2,253,711,312
  4. Step 4: Simplify right side
    1,508,668,080x = 5,079,214,677,836,761,088
  5. Step 5: Solve for x
    x = 5,079,214,677,836,761,088/1,508,668,080
  6. Step 6: Final answer
    x = 3,366,687,971.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.