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Finding the Third Proportional to 310,126,320 and 486,565,056

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Solution

The third proportional to 310,126,320 and 486,565,056 is: 763,384,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,126,320 : 486,565,056 = 486,565,056 : x
  2. Step 2: Convert to fraction form
    310,126,320/486,565,056 = 486,565,056/x
  3. Step 3: Cross multiply
    310,126,320x = 486,565,056 × 486,565,056
  4. Step 4: Simplify right side
    310,126,320x = 236,745,553,720,283,136
  5. Step 5: Solve for x
    x = 236,745,553,720,283,136/310,126,320
  6. Step 6: Final answer
    x = 763,384,267.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.