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Finding the Third Proportional to 261,680,821,800 and 569,210,831,424

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Solution

The third proportional to 261,680,821,800 and 569,210,831,424 is: 1,238,153,290,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,680,821,800 : 569,210,831,424 = 569,210,831,424 : x
  2. Step 2: Convert to fraction form
    261,680,821,800/569,210,831,424 = 569,210,831,424/x
  3. Step 3: Cross multiply
    261,680,821,800x = 569,210,831,424 × 569,210,831,424
  4. Step 4: Simplify right side
    261,680,821,800x = 324,000,970,610,401,379,090,432
  5. Step 5: Solve for x
    x = 324,000,970,610,401,379,090,432/261,680,821,800
  6. Step 6: Final answer
    x = 1,238,153,290,645.17

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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.