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Finding the Third Proportional to 4,711,357,367 and 10,207,887,432

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Solution

The third proportional to 4,711,357,367 and 10,207,887,432 is: 22,116,973,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711,357,367 : 10,207,887,432 = 10,207,887,432 : x
  2. Step 2: Convert to fraction form
    4,711,357,367/10,207,887,432 = 10,207,887,432/x
  3. Step 3: Cross multiply
    4,711,357,367x = 10,207,887,432 × 10,207,887,432
  4. Step 4: Simplify right side
    4,711,357,367x = 104,200,965,824,383,549,440
  5. Step 5: Solve for x
    x = 104,200,965,824,383,549,440/4,711,357,367
  6. Step 6: Final answer
    x = 22,116,973,455.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.