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Finding the Third Proportional to 521,530,376 and 1,105,239,349

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Solution

The third proportional to 521,530,376 and 1,105,239,349 is: 2,342,249,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,530,376 : 1,105,239,349 = 1,105,239,349 : x
  2. Step 2: Convert to fraction form
    521,530,376/1,105,239,349 = 1,105,239,349/x
  3. Step 3: Cross multiply
    521,530,376x = 1,105,239,349 × 1,105,239,349
  4. Step 4: Simplify right side
    521,530,376x = 1,221,554,018,577,943,808
  5. Step 5: Solve for x
    x = 1,221,554,018,577,943,808/521,530,376
  6. Step 6: Final answer
    x = 2,342,249,032.45

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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.