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Finding the Third Proportional to 82,360,046 and 175,663,660

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Solution

The third proportional to 82,360,046 and 175,663,660 is: 374,668,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,360,046 : 175,663,660 = 175,663,660 : x
  2. Step 2: Convert to fraction form
    82,360,046/175,663,660 = 175,663,660/x
  3. Step 3: Cross multiply
    82,360,046x = 175,663,660 × 175,663,660
  4. Step 4: Simplify right side
    82,360,046x = 30,857,721,444,595,600
  5. Step 5: Solve for x
    x = 30,857,721,444,595,600/82,360,046
  6. Step 6: Final answer
    x = 374,668,579.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.