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Finding the Third Proportional to 6,664,527 and 14,533,281

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Solution

The third proportional to 6,664,527 and 14,533,281 is: 31,692,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664,527 : 14,533,281 = 14,533,281 : x
  2. Step 2: Convert to fraction form
    6,664,527/14,533,281 = 14,533,281/x
  3. Step 3: Cross multiply
    6,664,527x = 14,533,281 × 14,533,281
  4. Step 4: Simplify right side
    6,664,527x = 211,216,256,624,961
  5. Step 5: Solve for x
    x = 211,216,256,624,961/6,664,527
  6. Step 6: Final answer
    x = 31,692,610.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.