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Finding the Third Proportional to 521,530,374 and 1,105,239,345

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Solution

The third proportional to 521,530,374 and 1,105,239,345 is: 2,342,249,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,530,374 : 1,105,239,345 = 1,105,239,345 : x
  2. Step 2: Convert to fraction form
    521,530,374/1,105,239,345 = 1,105,239,345/x
  3. Step 3: Cross multiply
    521,530,374x = 1,105,239,345 × 1,105,239,345
  4. Step 4: Simplify right side
    521,530,374x = 1,221,554,009,736,028,928
  5. Step 5: Solve for x
    x = 1,221,554,009,736,028,928/521,530,374
  6. Step 6: Final answer
    x = 2,342,249,024.48

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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.