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Finding the Third Proportional to 829,307,110 and 1,814,818,508

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Solution

The third proportional to 829,307,110 and 1,814,818,508 is: 3,971,467,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,307,110 : 1,814,818,508 = 1,814,818,508 : x
  2. Step 2: Convert to fraction form
    829,307,110/1,814,818,508 = 1,814,818,508/x
  3. Step 3: Cross multiply
    829,307,110x = 1,814,818,508 × 1,814,818,508
  4. Step 4: Simplify right side
    829,307,110x = 3,293,566,216,979,345,920
  5. Step 5: Solve for x
    x = 3,293,566,216,979,345,920/829,307,110
  6. Step 6: Final answer
    x = 3,971,467,478.41

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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.