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Finding the Third Proportional to 1,129,225,940 and 2,446,050,728

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Solution

The third proportional to 1,129,225,940 and 2,446,050,728 is: 5,298,465,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,225,940 : 2,446,050,728 = 2,446,050,728 : x
  2. Step 2: Convert to fraction form
    1,129,225,940/2,446,050,728 = 2,446,050,728/x
  3. Step 3: Cross multiply
    1,129,225,940x = 2,446,050,728 × 2,446,050,728
  4. Step 4: Simplify right side
    1,129,225,940x = 5,983,164,163,949,330,432
  5. Step 5: Solve for x
    x = 5,983,164,163,949,330,432/1,129,225,940
  6. Step 6: Final answer
    x = 5,298,465,038.76

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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.