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Finding the Third Proportional to 52,421,777 and 78,178,070

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Solution

The third proportional to 52,421,777 and 78,178,070 is: 116,589,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,421,777 : 78,178,070 = 78,178,070 : x
  2. Step 2: Convert to fraction form
    52,421,777/78,178,070 = 78,178,070/x
  3. Step 3: Cross multiply
    52,421,777x = 78,178,070 × 78,178,070
  4. Step 4: Simplify right side
    52,421,777x = 6,111,810,628,924,900
  5. Step 5: Solve for x
    x = 6,111,810,628,924,900/52,421,777
  6. Step 6: Final answer
    x = 116,589,153.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.