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Finding the Third Proportional to 316,220,536 and 685,224,312

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Solution

The third proportional to 316,220,536 and 685,224,312 is: 1,484,825,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,220,536 : 685,224,312 = 685,224,312 : x
  2. Step 2: Convert to fraction form
    316,220,536/685,224,312 = 685,224,312/x
  3. Step 3: Cross multiply
    316,220,536x = 685,224,312 × 685,224,312
  4. Step 4: Simplify right side
    316,220,536x = 469,532,357,755,873,344
  5. Step 5: Solve for x
    x = 469,532,357,755,873,344/316,220,536
  6. Step 6: Final answer
    x = 1,484,825,633.70

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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.