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Finding the Third Proportional to 174,547,515 and 379,740,345

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Solution

The third proportional to 174,547,515 and 379,740,345 is: 826,151,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,547,515 : 379,740,345 = 379,740,345 : x
  2. Step 2: Convert to fraction form
    174,547,515/379,740,345 = 379,740,345/x
  3. Step 3: Cross multiply
    174,547,515x = 379,740,345 × 379,740,345
  4. Step 4: Simplify right side
    174,547,515x = 144,202,729,620,719,040
  5. Step 5: Solve for x
    x = 144,202,729,620,719,040/174,547,515
  6. Step 6: Final answer
    x = 826,151,719.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.