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Finding the Third Proportional to 32,692,823 and 70,586,368

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Solution

The third proportional to 32,692,823 and 70,586,368 is: 152,401,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692,823 : 70,586,368 = 70,586,368 : x
  2. Step 2: Convert to fraction form
    32,692,823/70,586,368 = 70,586,368/x
  3. Step 3: Cross multiply
    32,692,823x = 70,586,368 × 70,586,368
  4. Step 4: Simplify right side
    32,692,823x = 4,982,435,347,431,424
  5. Step 5: Solve for x
    x = 4,982,435,347,431,424/32,692,823
  6. Step 6: Final answer
    x = 152,401,502.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.