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Finding the Third Proportional to 1,267,949,143.50 and 2,760,996,711

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Solution

The third proportional to 1,267,949,143.50 and 2,760,996,711 is: 6,012,151,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,949,143.50 : 2,760,996,711 = 2,760,996,711 : x
  2. Step 2: Convert to fraction form
    1,267,949,143.50/2,760,996,711 = 2,760,996,711/x
  3. Step 3: Cross multiply
    1,267,949,143.50x = 2,760,996,711 × 2,760,996,711
  4. Step 4: Simplify right side
    1,267,949,143.50x = 7,623,102,838,152,817,664
  5. Step 5: Solve for x
    x = 7,623,102,838,152,817,664/1,267,949,143.50
  6. Step 6: Final answer
    x = 6,012,151,888.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.