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Finding the Third Proportional to 760,598,156 and 1,667,007,976

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Solution

The third proportional to 760,598,156 and 1,667,007,976 is: 3,653,592,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,598,156 : 1,667,007,976 = 1,667,007,976 : x
  2. Step 2: Convert to fraction form
    760,598,156/1,667,007,976 = 1,667,007,976/x
  3. Step 3: Cross multiply
    760,598,156x = 1,667,007,976 × 1,667,007,976
  4. Step 4: Simplify right side
    760,598,156x = 2,778,915,592,047,616,512
  5. Step 5: Solve for x
    x = 2,778,915,592,047,616,512/760,598,156
  6. Step 6: Final answer
    x = 3,653,592,334.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.