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Finding the Third Proportional to 641,119,212 and 1,016,007,928

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Solution

The third proportional to 641,119,212 and 1,016,007,928 is: 1,610,109,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,119,212 : 1,016,007,928 = 1,016,007,928 : x
  2. Step 2: Convert to fraction form
    641,119,212/1,016,007,928 = 1,016,007,928/x
  3. Step 3: Cross multiply
    641,119,212x = 1,016,007,928 × 1,016,007,928
  4. Step 4: Simplify right side
    641,119,212x = 1,032,272,109,758,853,120
  5. Step 5: Solve for x
    x = 1,032,272,109,758,853,120/641,119,212
  6. Step 6: Final answer
    x = 1,610,109,462.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.