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Finding the Third Proportional to 267,053,490 and 569,381,100

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Solution

The third proportional to 267,053,490 and 569,381,100 is: 1,213,969,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,053,490 : 569,381,100 = 569,381,100 : x
  2. Step 2: Convert to fraction form
    267,053,490/569,381,100 = 569,381,100/x
  3. Step 3: Cross multiply
    267,053,490x = 569,381,100 × 569,381,100
  4. Step 4: Simplify right side
    267,053,490x = 324,194,837,037,209,984
  5. Step 5: Solve for x
    x = 324,194,837,037,209,984/267,053,490
  6. Step 6: Final answer
    x = 1,213,969,669.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.