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Finding the Third Proportional to 1,214,810,098 and 1,814,254,603

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Solution

The third proportional to 1,214,810,098 and 1,814,254,603 is: 2,709,493,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,810,098 : 1,814,254,603 = 1,814,254,603 : x
  2. Step 2: Convert to fraction form
    1,214,810,098/1,814,254,603 = 1,814,254,603/x
  3. Step 3: Cross multiply
    1,214,810,098x = 1,814,254,603 × 1,814,254,603
  4. Step 4: Simplify right side
    1,214,810,098x = 3,291,519,764,506,687,488
  5. Step 5: Solve for x
    x = 3,291,519,764,506,687,488/1,214,810,098
  6. Step 6: Final answer
    x = 2,709,493,253.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.