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Finding the Third Proportional to 36,669,711 and 77,710,666

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Solution

The third proportional to 36,669,711 and 77,710,666 is: 164,684,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669,711 : 77,710,666 = 77,710,666 : x
  2. Step 2: Convert to fraction form
    36,669,711/77,710,666 = 77,710,666/x
  3. Step 3: Cross multiply
    36,669,711x = 77,710,666 × 77,710,666
  4. Step 4: Simplify right side
    36,669,711x = 6,038,947,610,163,556
  5. Step 5: Solve for x
    x = 6,038,947,610,163,556/36,669,711
  6. Step 6: Final answer
    x = 164,684,897.85

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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.