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Finding the Third Proportional to 768,327,808,698 and 1,708,442,749,488.80

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Solution

The third proportional to 768,327,808,698 and 1,708,442,749,488.80 is: 3,798,868,914,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,327,808,698 : 1,708,442,749,488.80 = 1,708,442,749,488.80 : x
  2. Step 2: Convert to fraction form
    768,327,808,698/1,708,442,749,488.80 = 1,708,442,749,488.80/x
  3. Step 3: Cross multiply
    768,327,808,698x = 1,708,442,749,488.80 × 1,708,442,749,488.80
  4. Step 4: Simplify right side
    768,327,808,698x = 2,918,776,628,280,850,833,735,680
  5. Step 5: Solve for x
    x = 2,918,776,628,280,850,833,735,680/768,327,808,698
  6. Step 6: Final answer
    x = 3,798,868,914,073.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.