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Finding the Third Proportional to 7,565,671.50 and 12,044,353.50

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Solution

The third proportional to 7,565,671.50 and 12,044,353.50 is: 19,174,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565,671.50 : 12,044,353.50 = 12,044,353.50 : x
  2. Step 2: Convert to fraction form
    7,565,671.50/12,044,353.50 = 12,044,353.50/x
  3. Step 3: Cross multiply
    7,565,671.50x = 12,044,353.50 × 12,044,353.50
  4. Step 4: Simplify right side
    7,565,671.50x = 145,066,451,232,962.25
  5. Step 5: Solve for x
    x = 145,066,451,232,962.25/7,565,671.50
  6. Step 6: Final answer
    x = 19,174,299.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.