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Finding the Third Proportional to 10,037,560 and 21,369,184

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Solution

The third proportional to 10,037,560 and 21,369,184 is: 45,493,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037,560 : 21,369,184 = 21,369,184 : x
  2. Step 2: Convert to fraction form
    10,037,560/21,369,184 = 21,369,184/x
  3. Step 3: Cross multiply
    10,037,560x = 21,369,184 × 21,369,184
  4. Step 4: Simplify right side
    10,037,560x = 456,642,024,825,856
  5. Step 5: Solve for x
    x = 456,642,024,825,856/10,037,560
  6. Step 6: Final answer
    x = 45,493,329.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.