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Finding the Third Proportional to 10,094,472,261 and 22,088,668,966

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Solution

The third proportional to 10,094,472,261 and 22,088,668,966 is: 48,334,304,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,472,261 : 22,088,668,966 = 22,088,668,966 : x
  2. Step 2: Convert to fraction form
    10,094,472,261/22,088,668,966 = 22,088,668,966/x
  3. Step 3: Cross multiply
    10,094,472,261x = 22,088,668,966 × 22,088,668,966
  4. Step 4: Simplify right side
    10,094,472,261x = 487,909,296,689,531,518,976
  5. Step 5: Solve for x
    x = 487,909,296,689,531,518,976/10,094,472,261
  6. Step 6: Final answer
    x = 48,334,304,565.34

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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.