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Finding the Third Proportional to 2,326,944,029 and 3,704,417,827

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Solution

The third proportional to 2,326,944,029 and 3,704,417,827 is: 5,897,310,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326,944,029 : 3,704,417,827 = 3,704,417,827 : x
  2. Step 2: Convert to fraction form
    2,326,944,029/3,704,417,827 = 3,704,417,827/x
  3. Step 3: Cross multiply
    2,326,944,029x = 3,704,417,827 × 3,704,417,827
  4. Step 4: Simplify right side
    2,326,944,029x = 13,722,711,436,995,401,728
  5. Step 5: Solve for x
    x = 13,722,711,436,995,401,728/2,326,944,029
  6. Step 6: Final answer
    x = 5,897,310,492.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.