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Finding the Third Proportional to 36,669,825.75 and 77,710,897.50

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Solution

The third proportional to 36,669,825.75 and 77,710,897.50 is: 164,685,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669,825.75 : 77,710,897.50 = 77,710,897.50 : x
  2. Step 2: Convert to fraction form
    36,669,825.75/77,710,897.50 = 77,710,897.50/x
  3. Step 3: Cross multiply
    36,669,825.75x = 77,710,897.50 × 77,710,897.50
  4. Step 4: Simplify right side
    36,669,825.75x = 6,038,983,590,255,506
  5. Step 5: Solve for x
    x = 6,038,983,590,255,506/36,669,825.75
  6. Step 6: Final answer
    x = 164,685,363.69

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