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Finding the Third Proportional to 181,569,762 and 376,059,078

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Solution

The third proportional to 181,569,762 and 376,059,078 is: 778,876,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569,762 : 376,059,078 = 376,059,078 : x
  2. Step 2: Convert to fraction form
    181,569,762/376,059,078 = 376,059,078/x
  3. Step 3: Cross multiply
    181,569,762x = 376,059,078 × 376,059,078
  4. Step 4: Simplify right side
    181,569,762x = 141,420,430,146,210,080
  5. Step 5: Solve for x
    x = 141,420,430,146,210,080/181,569,762
  6. Step 6: Final answer
    x = 778,876,551.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.