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Finding the Third Proportional to 1,284,791,935.50 and 2,814,401,025

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Solution

The third proportional to 1,284,791,935.50 and 2,814,401,025 is: 6,165,086,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,791,935.50 : 2,814,401,025 = 2,814,401,025 : x
  2. Step 2: Convert to fraction form
    1,284,791,935.50/2,814,401,025 = 2,814,401,025/x
  3. Step 3: Cross multiply
    1,284,791,935.50x = 2,814,401,025 × 2,814,401,025
  4. Step 4: Simplify right side
    1,284,791,935.50x = 7,920,853,129,521,050,624
  5. Step 5: Solve for x
    x = 7,920,853,129,521,050,624/1,284,791,935.50
  6. Step 6: Final answer
    x = 6,165,086,276.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.