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Finding the Third Proportional to 4,742,514 and 10,406,788

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Solution

The third proportional to 4,742,514 and 10,406,788 is: 22,836,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742,514 : 10,406,788 = 10,406,788 : x
  2. Step 2: Convert to fraction form
    4,742,514/10,406,788 = 10,406,788/x
  3. Step 3: Cross multiply
    4,742,514x = 10,406,788 × 10,406,788
  4. Step 4: Simplify right side
    4,742,514x = 108,301,236,476,944
  5. Step 5: Solve for x
    x = 108,301,236,476,944/4,742,514
  6. Step 6: Final answer
    x = 22,836,250.24

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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.