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Finding the Third Proportional to 663,016,698 and 1,104,961,235.06

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Solution

The third proportional to 663,016,698 and 1,104,961,235.06 is: 1,841,491,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,016,698 : 1,104,961,235.06 = 1,104,961,235.06 : x
  2. Step 2: Convert to fraction form
    663,016,698/1,104,961,235.06 = 1,104,961,235.06/x
  3. Step 3: Cross multiply
    663,016,698x = 1,104,961,235.06 × 1,104,961,235.06
  4. Step 4: Simplify right side
    663,016,698x = 1,220,939,330,990,845,440
  5. Step 5: Solve for x
    x = 1,220,939,330,990,845,440/663,016,698
  6. Step 6: Final answer
    x = 1,841,491,073.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.