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Finding the Third Proportional to 21,703,532,419 and 45,190,652,432

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Solution

The third proportional to 21,703,532,419 and 45,190,652,432 is: 94,095,054,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703,532,419 : 45,190,652,432 = 45,190,652,432 : x
  2. Step 2: Convert to fraction form
    21,703,532,419/45,190,652,432 = 45,190,652,432/x
  3. Step 3: Cross multiply
    21,703,532,419x = 45,190,652,432 × 45,190,652,432
  4. Step 4: Simplify right side
    21,703,532,419x = 2,042,195,067,229,827,497,984
  5. Step 5: Solve for x
    x = 2,042,195,067,229,827,497,984/21,703,532,419
  6. Step 6: Final answer
    x = 94,095,054,565.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.