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Finding the Third Proportional to 82,771,765 and 175,629,001.50

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Solution

The third proportional to 82,771,765 and 175,629,001.50 is: 372,657,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771,765 : 175,629,001.50 = 175,629,001.50 : x
  2. Step 2: Convert to fraction form
    82,771,765/175,629,001.50 = 175,629,001.50/x
  3. Step 3: Cross multiply
    82,771,765x = 175,629,001.50 × 175,629,001.50
  4. Step 4: Simplify right side
    82,771,765x = 30,845,546,167,887,004
  5. Step 5: Solve for x
    x = 30,845,546,167,887,004/82,771,765
  6. Step 6: Final answer
    x = 372,657,828.04

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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.