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Finding the Third Proportional to 76,574,184 and 115,772,670

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Solution

The third proportional to 76,574,184 and 115,772,670 is: 175,036,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574,184 : 115,772,670 = 115,772,670 : x
  2. Step 2: Convert to fraction form
    76,574,184/115,772,670 = 115,772,670/x
  3. Step 3: Cross multiply
    76,574,184x = 115,772,670 × 115,772,670
  4. Step 4: Simplify right side
    76,574,184x = 13,403,311,118,928,900
  5. Step 5: Solve for x
    x = 13,403,311,118,928,900/76,574,184
  6. Step 6: Final answer
    x = 175,036,943.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.