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Finding the Third Proportional to 3,849,480,982,224 and 8,157,909,961,229.40

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Solution

The third proportional to 3,849,480,982,224 and 8,157,909,961,229.40 is: 17,288,433,231,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849,480,982,224 : 8,157,909,961,229.40 = 8,157,909,961,229.40 : x
  2. Step 2: Convert to fraction form
    3,849,480,982,224/8,157,909,961,229.40 = 8,157,909,961,229.40/x
  3. Step 3: Cross multiply
    3,849,480,982,224x = 8,157,909,961,229.40 × 8,157,909,961,229.40
  4. Step 4: Simplify right side
    3,849,480,982,224x = 66,551,494,935,525,873,642,635,264
  5. Step 5: Solve for x
    x = 66,551,494,935,525,873,642,635,264/3,849,480,982,224
  6. Step 6: Final answer
    x = 17,288,433,231,088.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.