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Finding the Third Proportional to 35,822,967 and 77,727,981

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Solution

The third proportional to 35,822,967 and 77,727,981 is: 168,652,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822,967 : 77,727,981 = 77,727,981 : x
  2. Step 2: Convert to fraction form
    35,822,967/77,727,981 = 77,727,981/x
  3. Step 3: Cross multiply
    35,822,967x = 77,727,981 × 77,727,981
  4. Step 4: Simplify right side
    35,822,967x = 6,041,639,030,336,361
  5. Step 5: Solve for x
    x = 6,041,639,030,336,361/35,822,967
  6. Step 6: Final answer
    x = 168,652,669.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.