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Finding the Third Proportional to 267,094,767 and 579,873,168

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Solution

The third proportional to 267,094,767 and 579,873,168 is: 1,258,927,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,094,767 : 579,873,168 = 579,873,168 : x
  2. Step 2: Convert to fraction form
    267,094,767/579,873,168 = 579,873,168/x
  3. Step 3: Cross multiply
    267,094,767x = 579,873,168 × 579,873,168
  4. Step 4: Simplify right side
    267,094,767x = 336,252,890,966,356,224
  5. Step 5: Solve for x
    x = 336,252,890,966,356,224/267,094,767
  6. Step 6: Final answer
    x = 1,258,927,289.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.