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Finding the Third Proportional to 30,665,040 and 65,584,887

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Solution

The third proportional to 30,665,040 and 65,584,887 is: 140,269,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,040 : 65,584,887 = 65,584,887 : x
  2. Step 2: Convert to fraction form
    30,665,040/65,584,887 = 65,584,887/x
  3. Step 3: Cross multiply
    30,665,040x = 65,584,887 × 65,584,887
  4. Step 4: Simplify right side
    30,665,040x = 4,301,377,402,802,769
  5. Step 5: Solve for x
    x = 4,301,377,402,802,769/30,665,040
  6. Step 6: Final answer
    x = 140,269,747.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.