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Finding the Third Proportional to 4,811,488 and 10,462,352

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Solution

The third proportional to 4,811,488 and 10,462,352 is: 22,749,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811,488 : 10,462,352 = 10,462,352 : x
  2. Step 2: Convert to fraction form
    4,811,488/10,462,352 = 10,462,352/x
  3. Step 3: Cross multiply
    4,811,488x = 10,462,352 × 10,462,352
  4. Step 4: Simplify right side
    4,811,488x = 109,460,809,371,904
  5. Step 5: Solve for x
    x = 109,460,809,371,904/4,811,488
  6. Step 6: Final answer
    x = 22,749,887.22

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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.