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Finding the Third Proportional to 517,860,216 and 1,109,177,388

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Solution

The third proportional to 517,860,216 and 1,109,177,388 is: 2,375,688,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,860,216 : 1,109,177,388 = 1,109,177,388 : x
  2. Step 2: Convert to fraction form
    517,860,216/1,109,177,388 = 1,109,177,388/x
  3. Step 3: Cross multiply
    517,860,216x = 1,109,177,388 × 1,109,177,388
  4. Step 4: Simplify right side
    517,860,216x = 1,230,274,478,050,502,656
  5. Step 5: Solve for x
    x = 1,230,274,478,050,502,656/517,860,216
  6. Step 6: Final answer
    x = 2,375,688,342.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.