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Finding the Third Proportional to 918,844,564 and 2,016,226,656

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Solution

The third proportional to 918,844,564 and 2,016,226,656 is: 4,424,219,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,844,564 : 2,016,226,656 = 2,016,226,656 : x
  2. Step 2: Convert to fraction form
    918,844,564/2,016,226,656 = 2,016,226,656/x
  3. Step 3: Cross multiply
    918,844,564x = 2,016,226,656 × 2,016,226,656
  4. Step 4: Simplify right side
    918,844,564x = 4,065,169,928,364,942,336
  5. Step 5: Solve for x
    x = 4,065,169,928,364,942,336/918,844,564
  6. Step 6: Final answer
    x = 4,424,219,381.21

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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.