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Finding the Third Proportional to 23,275,540,712 and 51,057,346,000

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Solution

The third proportional to 23,275,540,712 and 51,057,346,000 is: 111,999,657,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,275,540,712 : 51,057,346,000 = 51,057,346,000 : x
  2. Step 2: Convert to fraction form
    23,275,540,712/51,057,346,000 = 51,057,346,000/x
  3. Step 3: Cross multiply
    23,275,540,712x = 51,057,346,000 × 51,057,346,000
  4. Step 4: Simplify right side
    23,275,540,712x = 2,606,852,580,563,715,883,008
  5. Step 5: Solve for x
    x = 2,606,852,580,563,715,883,008/23,275,540,712
  6. Step 6: Final answer
    x = 111,999,657,186.04

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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.