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Finding the Third Proportional to 30,110,713 and 64,105,537

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Solution

The third proportional to 30,110,713 and 64,105,537 is: 136,480,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,110,713 : 64,105,537 = 64,105,537 : x
  2. Step 2: Convert to fraction form
    30,110,713/64,105,537 = 64,105,537/x
  3. Step 3: Cross multiply
    30,110,713x = 64,105,537 × 64,105,537
  4. Step 4: Simplify right side
    30,110,713x = 4,109,519,874,058,369
  5. Step 5: Solve for x
    x = 4,109,519,874,058,369/30,110,713
  6. Step 6: Final answer
    x = 136,480,324.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.