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Finding the Third Proportional to 36,669,710 and 77,710,664

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Solution

The third proportional to 36,669,710 and 77,710,664 is: 164,684,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669,710 : 77,710,664 = 77,710,664 : x
  2. Step 2: Convert to fraction form
    36,669,710/77,710,664 = 77,710,664/x
  3. Step 3: Cross multiply
    36,669,710x = 77,710,664 × 77,710,664
  4. Step 4: Simplify right side
    36,669,710x = 6,038,947,299,320,896
  5. Step 5: Solve for x
    x = 6,038,947,299,320,896/36,669,710
  6. Step 6: Final answer
    x = 164,684,893.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.