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Finding the Third Proportional to 918,864,666 and 2,016,264,348

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Solution

The third proportional to 918,864,666 and 2,016,264,348 is: 4,424,288,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,864,666 : 2,016,264,348 = 2,016,264,348 : x
  2. Step 2: Convert to fraction form
    918,864,666/2,016,264,348 = 2,016,264,348/x
  3. Step 3: Cross multiply
    918,864,666x = 2,016,264,348 × 2,016,264,348
  4. Step 4: Simplify right side
    918,864,666x = 4,065,321,921,015,865,344
  5. Step 5: Solve for x
    x = 4,065,321,921,015,865,344/918,864,666
  6. Step 6: Final answer
    x = 4,424,288,006.10

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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.