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Finding the Third Proportional to 1,359,432,466 and 2,099,201,538

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Solution

The third proportional to 1,359,432,466 and 2,099,201,538 is: 3,241,534,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,466 : 2,099,201,538 = 2,099,201,538 : x
  2. Step 2: Convert to fraction form
    1,359,432,466/2,099,201,538 = 2,099,201,538/x
  3. Step 3: Cross multiply
    1,359,432,466x = 2,099,201,538 × 2,099,201,538
  4. Step 4: Simplify right side
    1,359,432,466x = 4,406,647,097,141,565,440
  5. Step 5: Solve for x
    x = 4,406,647,097,141,565,440/1,359,432,466
  6. Step 6: Final answer
    x = 3,241,534,395.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.