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Finding the Third Proportional to 35,715,548 and 77,519,702

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Solution

The third proportional to 35,715,548 and 77,519,702 is: 168,254,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715,548 : 77,519,702 = 77,519,702 : x
  2. Step 2: Convert to fraction form
    35,715,548/77,519,702 = 77,519,702/x
  3. Step 3: Cross multiply
    35,715,548x = 77,519,702 × 77,519,702
  4. Step 4: Simplify right side
    35,715,548x = 6,009,304,198,168,804
  5. Step 5: Solve for x
    x = 6,009,304,198,168,804/35,715,548
  6. Step 6: Final answer
    x = 168,254,570.76

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Why These Related Problems?

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