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Finding the Third Proportional to 581,817,268,716 and 1,359,387,665,952

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Solution

The third proportional to 581,817,268,716 and 1,359,387,665,952 is: 3,176,142,967,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,817,268,716 : 1,359,387,665,952 = 1,359,387,665,952 : x
  2. Step 2: Convert to fraction form
    581,817,268,716/1,359,387,665,952 = 1,359,387,665,952/x
  3. Step 3: Cross multiply
    581,817,268,716x = 1,359,387,665,952 × 1,359,387,665,952
  4. Step 4: Simplify right side
    581,817,268,716x = 1,847,934,826,342,426,406,289,408
  5. Step 5: Solve for x
    x = 1,847,934,826,342,426,406,289,408/581,817,268,716
  6. Step 6: Final answer
    x = 3,176,142,967,396.95

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.