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Finding the Third Proportional to 1,309,930,727 and 2,840,880,025

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Solution

The third proportional to 1,309,930,727 and 2,840,880,025 is: 6,161,088,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,930,727 : 2,840,880,025 = 2,840,880,025 : x
  2. Step 2: Convert to fraction form
    1,309,930,727/2,840,880,025 = 2,840,880,025/x
  3. Step 3: Cross multiply
    1,309,930,727x = 2,840,880,025 × 2,840,880,025
  4. Step 4: Simplify right side
    1,309,930,727x = 8,070,599,316,444,000,256
  5. Step 5: Solve for x
    x = 8,070,599,316,444,000,256/1,309,930,727
  6. Step 6: Final answer
    x = 6,161,088,636.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.