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Finding the Third Proportional to 1,140,897,342 and 2,500,512,180

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Solution

The third proportional to 1,140,897,342 and 2,500,512,180 is: 5,480,388,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,897,342 : 2,500,512,180 = 2,500,512,180 : x
  2. Step 2: Convert to fraction form
    1,140,897,342/2,500,512,180 = 2,500,512,180/x
  3. Step 3: Cross multiply
    1,140,897,342x = 2,500,512,180 × 2,500,512,180
  4. Step 4: Simplify right side
    1,140,897,342x = 6,252,561,162,328,352,768
  5. Step 5: Solve for x
    x = 6,252,561,162,328,352,768/1,140,897,342
  6. Step 6: Final answer
    x = 5,480,388,929.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.