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Finding the Third Proportional to 53,875,744 and 82,158,772

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Solution

The third proportional to 53,875,744 and 82,158,772 is: 125,289,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,875,744 : 82,158,772 = 82,158,772 : x
  2. Step 2: Convert to fraction form
    53,875,744/82,158,772 = 82,158,772/x
  3. Step 3: Cross multiply
    53,875,744x = 82,158,772 × 82,158,772
  4. Step 4: Simplify right side
    53,875,744x = 6,750,063,816,547,984
  5. Step 5: Solve for x
    x = 6,750,063,816,547,984/53,875,744
  6. Step 6: Final answer
    x = 125,289,477.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.