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Finding the Third Proportional to 1,011,758,414 and 2,256,152,876

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Solution

The third proportional to 1,011,758,414 and 2,256,152,876 is: 5,031,068,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,758,414 : 2,256,152,876 = 2,256,152,876 : x
  2. Step 2: Convert to fraction form
    1,011,758,414/2,256,152,876 = 2,256,152,876/x
  3. Step 3: Cross multiply
    1,011,758,414x = 2,256,152,876 × 2,256,152,876
  4. Step 4: Simplify right side
    1,011,758,414x = 5,090,225,799,883,071,488
  5. Step 5: Solve for x
    x = 5,090,225,799,883,071,488/1,011,758,414
  6. Step 6: Final answer
    x = 5,031,068,414.60

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.