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Finding the Third Proportional to 34,778,784 and 76,276,032

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Solution

The third proportional to 34,778,784 and 76,276,032 is: 167,286,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778,784 : 76,276,032 = 76,276,032 : x
  2. Step 2: Convert to fraction form
    34,778,784/76,276,032 = 76,276,032/x
  3. Step 3: Cross multiply
    34,778,784x = 76,276,032 × 76,276,032
  4. Step 4: Simplify right side
    34,778,784x = 5,818,033,057,665,024
  5. Step 5: Solve for x
    x = 5,818,033,057,665,024/34,778,784
  6. Step 6: Final answer
    x = 167,286,845.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.