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Finding the Third Proportional to 267,336,090 and 425,384,264.25

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Solution

The third proportional to 267,336,090 and 425,384,264.25 is: 676,869,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,336,090 : 425,384,264.25 = 425,384,264.25 : x
  2. Step 2: Convert to fraction form
    267,336,090/425,384,264.25 = 425,384,264.25/x
  3. Step 3: Cross multiply
    267,336,090x = 425,384,264.25 × 425,384,264.25
  4. Step 4: Simplify right side
    267,336,090x = 180,951,772,271,513,824
  5. Step 5: Solve for x
    x = 180,951,772,271,513,824/267,336,090
  6. Step 6: Final answer
    x = 676,869,973.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.