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Finding the Third Proportional to 768,327,808,699 and 1,708,442,749,491

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Solution

The third proportional to 768,327,808,699 and 1,708,442,749,491 is: 3,798,868,914,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,327,808,699 : 1,708,442,749,491 = 1,708,442,749,491 : x
  2. Step 2: Convert to fraction form
    768,327,808,699/1,708,442,749,491 = 1,708,442,749,491/x
  3. Step 3: Cross multiply
    768,327,808,699x = 1,708,442,749,491 × 1,708,442,749,491
  4. Step 4: Simplify right side
    768,327,808,699x = 2,918,776,628,288,367,563,374,592
  5. Step 5: Solve for x
    x = 2,918,776,628,288,367,563,374,592/768,327,808,699
  6. Step 6: Final answer
    x = 3,798,868,914,078.09

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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.