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Finding the Third Proportional to 14,576,991 and 33,746,626.50

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Solution

The third proportional to 14,576,991 and 33,746,626.50 is: 78,125,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576,991 : 33,746,626.50 = 33,746,626.50 : x
  2. Step 2: Convert to fraction form
    14,576,991/33,746,626.50 = 33,746,626.50/x
  3. Step 3: Cross multiply
    14,576,991x = 33,746,626.50 × 33,746,626.50
  4. Step 4: Simplify right side
    14,576,991x = 1,138,834,800,130,502.25
  5. Step 5: Solve for x
    x = 1,138,834,800,130,502.25/14,576,991
  6. Step 6: Final answer
    x = 78,125,506.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.