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Finding the Third Proportional to 36,669,840.75 and 77,710,927.50

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Solution

The third proportional to 36,669,840.75 and 77,710,927.50 is: 164,685,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669,840.75 : 77,710,927.50 = 77,710,927.50 : x
  2. Step 2: Convert to fraction form
    36,669,840.75/77,710,927.50 = 77,710,927.50/x
  3. Step 3: Cross multiply
    36,669,840.75x = 77,710,927.50 × 77,710,927.50
  4. Step 4: Simplify right side
    36,669,840.75x = 6,038,988,252,910,256
  5. Step 5: Solve for x
    x = 6,038,988,252,910,256/36,669,840.75
  6. Step 6: Final answer
    x = 164,685,423.48

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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.