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Finding the Third Proportional to 11,875,746 and 19,652,887

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Solution

The third proportional to 11,875,746 and 19,652,887 is: 32,523,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875,746 : 19,652,887 = 19,652,887 : x
  2. Step 2: Convert to fraction form
    11,875,746/19,652,887 = 19,652,887/x
  3. Step 3: Cross multiply
    11,875,746x = 19,652,887 × 19,652,887
  4. Step 4: Simplify right side
    11,875,746x = 386,235,967,434,769
  5. Step 5: Solve for x
    x = 386,235,967,434,769/11,875,746
  6. Step 6: Final answer
    x = 32,523,090.96

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.