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Finding the Third Proportional to 1,226,368,033 and 2,690,163,560

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Solution

The third proportional to 1,226,368,033 and 2,690,163,560 is: 5,901,148,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,368,033 : 2,690,163,560 = 2,690,163,560 : x
  2. Step 2: Convert to fraction form
    1,226,368,033/2,690,163,560 = 2,690,163,560/x
  3. Step 3: Cross multiply
    1,226,368,033x = 2,690,163,560 × 2,690,163,560
  4. Step 4: Simplify right side
    1,226,368,033x = 7,236,979,979,551,874,048
  5. Step 5: Solve for x
    x = 7,236,979,979,551,874,048/1,226,368,033
  6. Step 6: Final answer
    x = 5,901,148,582.49

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Why These Related Problems?

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