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Finding the Third Proportional to 272,623,698 and 586,817,910

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Solution

The third proportional to 272,623,698 and 586,817,910 is: 1,263,115,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,623,698 : 586,817,910 = 586,817,910 : x
  2. Step 2: Convert to fraction form
    272,623,698/586,817,910 = 586,817,910/x
  3. Step 3: Cross multiply
    272,623,698x = 586,817,910 × 586,817,910
  4. Step 4: Simplify right side
    272,623,698x = 344,355,259,496,768,128
  5. Step 5: Solve for x
    x = 344,355,259,496,768,128/272,623,698
  6. Step 6: Final answer
    x = 1,263,115,649.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.