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Finding the Third Proportional to 27,587,902 and 65,032,381

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Solution

The third proportional to 27,587,902 and 65,032,381 is: 153,299,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587,902 : 65,032,381 = 65,032,381 : x
  2. Step 2: Convert to fraction form
    27,587,902/65,032,381 = 65,032,381/x
  3. Step 3: Cross multiply
    27,587,902x = 65,032,381 × 65,032,381
  4. Step 4: Simplify right side
    27,587,902x = 4,229,210,578,529,161
  5. Step 5: Solve for x
    x = 4,229,210,578,529,161/27,587,902
  6. Step 6: Final answer
    x = 153,299,463.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.