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Finding the Third Proportional to 261,680,821,750 and 569,210,831,336

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Solution

The third proportional to 261,680,821,750 and 569,210,831,336 is: 1,238,153,290,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,680,821,750 : 569,210,831,336 = 569,210,831,336 : x
  2. Step 2: Convert to fraction form
    261,680,821,750/569,210,831,336 = 569,210,831,336/x
  3. Step 3: Cross multiply
    261,680,821,750x = 569,210,831,336 × 569,210,831,336
  4. Step 4: Simplify right side
    261,680,821,750x = 324,000,970,510,220,260,278,272
  5. Step 5: Solve for x
    x = 324,000,970,510,220,260,278,272/261,680,821,750
  6. Step 6: Final answer
    x = 1,238,153,290,498.91

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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.