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Finding the Third Proportional to 2,243,215,865 and 4,908,592,714

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Solution

The third proportional to 2,243,215,865 and 4,908,592,714 is: 10,740,955,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,215,865 : 4,908,592,714 = 4,908,592,714 : x
  2. Step 2: Convert to fraction form
    2,243,215,865/4,908,592,714 = 4,908,592,714/x
  3. Step 3: Cross multiply
    2,243,215,865x = 4,908,592,714 × 4,908,592,714
  4. Step 4: Simplify right side
    2,243,215,865x = 24,094,282,431,933,886,464
  5. Step 5: Solve for x
    x = 24,094,282,431,933,886,464/2,243,215,865
  6. Step 6: Final answer
    x = 10,740,955,789.35

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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.