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Finding the Third Proportional to 10,316,844 and 22,424,816

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Solution

The third proportional to 10,316,844 and 22,424,816 is: 48,742,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316,844 : 22,424,816 = 22,424,816 : x
  2. Step 2: Convert to fraction form
    10,316,844/22,424,816 = 22,424,816/x
  3. Step 3: Cross multiply
    10,316,844x = 22,424,816 × 22,424,816
  4. Step 4: Simplify right side
    10,316,844x = 502,872,372,633,856
  5. Step 5: Solve for x
    x = 502,872,372,633,856/10,316,844
  6. Step 6: Final answer
    x = 48,742,849.33

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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.