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Finding the Third Proportional to 10,107,347,256 and 21,812,803,218

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Solution

The third proportional to 10,107,347,256 and 21,812,803,218 is: 47,074,506,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107,347,256 : 21,812,803,218 = 21,812,803,218 : x
  2. Step 2: Convert to fraction form
    10,107,347,256/21,812,803,218 = 21,812,803,218/x
  3. Step 3: Cross multiply
    10,107,347,256x = 21,812,803,218 × 21,812,803,218
  4. Step 4: Simplify right side
    10,107,347,256x = 475,798,384,227,191,160,832
  5. Step 5: Solve for x
    x = 475,798,384,227,191,160,832/10,107,347,256
  6. Step 6: Final answer
    x = 47,074,506,512.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.