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Finding the Third Proportional to 521,148,822 and 1,145,584,308

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Solution

The third proportional to 521,148,822 and 1,145,584,308 is: 2,518,212,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,148,822 : 1,145,584,308 = 1,145,584,308 : x
  2. Step 2: Convert to fraction form
    521,148,822/1,145,584,308 = 1,145,584,308/x
  3. Step 3: Cross multiply
    521,148,822x = 1,145,584,308 × 1,145,584,308
  4. Step 4: Simplify right side
    521,148,822x = 1,312,363,406,735,838,976
  5. Step 5: Solve for x
    x = 1,312,363,406,735,838,976/521,148,822
  6. Step 6: Final answer
    x = 2,518,212,363.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.