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Finding the Third Proportional to 10,094,472,263 and 22,088,668,970

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Solution

The third proportional to 10,094,472,263 and 22,088,668,970 is: 48,334,304,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,472,263 : 22,088,668,970 = 22,088,668,970 : x
  2. Step 2: Convert to fraction form
    10,094,472,263/22,088,668,970 = 22,088,668,970/x
  3. Step 3: Cross multiply
    10,094,472,263x = 22,088,668,970 × 22,088,668,970
  4. Step 4: Simplify right side
    10,094,472,263x = 487,909,296,866,240,888,832
  5. Step 5: Solve for x
    x = 487,909,296,866,240,888,832/10,094,472,263
  6. Step 6: Final answer
    x = 48,334,304,573.27

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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.