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Finding the Third Proportional to 10,367,002 and 22,623,511

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Solution

The third proportional to 10,367,002 and 22,623,511 is: 49,370,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,002 : 22,623,511 = 22,623,511 : x
  2. Step 2: Convert to fraction form
    10,367,002/22,623,511 = 22,623,511/x
  3. Step 3: Cross multiply
    10,367,002x = 22,623,511 × 22,623,511
  4. Step 4: Simplify right side
    10,367,002x = 511,823,249,967,121
  5. Step 5: Solve for x
    x = 511,823,249,967,121/10,367,002
  6. Step 6: Final answer
    x = 49,370,420.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.