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Finding the Third Proportional to 35,586,920 and 77,697,908

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Solution

The third proportional to 35,586,920 and 77,697,908 is: 169,639,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,586,920 : 77,697,908 = 77,697,908 : x
  2. Step 2: Convert to fraction form
    35,586,920/77,697,908 = 77,697,908/x
  3. Step 3: Cross multiply
    35,586,920x = 77,697,908 × 77,697,908
  4. Step 4: Simplify right side
    35,586,920x = 6,036,964,907,576,464
  5. Step 5: Solve for x
    x = 6,036,964,907,576,464/35,586,920
  6. Step 6: Final answer
    x = 169,639,994.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.