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Finding the Third Proportional to 1,140,897,267 and 2,500,512,030

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Solution

The third proportional to 1,140,897,267 and 2,500,512,030 is: 5,480,388,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,897,267 : 2,500,512,030 = 2,500,512,030 : x
  2. Step 2: Convert to fraction form
    1,140,897,267/2,500,512,030 = 2,500,512,030/x
  3. Step 3: Cross multiply
    1,140,897,267x = 2,500,512,030 × 2,500,512,030
  4. Step 4: Simplify right side
    1,140,897,267x = 6,252,560,412,174,721,024
  5. Step 5: Solve for x
    x = 6,252,560,412,174,721,024/1,140,897,267
  6. Step 6: Final answer
    x = 5,480,388,631.85

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Why These Related Problems?

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