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Finding the Third Proportional to 5,617,752 and 8,485,663.50

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Solution

The third proportional to 5,617,752 and 8,485,663.50 is: 12,817,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617,752 : 8,485,663.50 = 8,485,663.50 : x
  2. Step 2: Convert to fraction form
    5,617,752/8,485,663.50 = 8,485,663.50/x
  3. Step 3: Cross multiply
    5,617,752x = 8,485,663.50 × 8,485,663.50
  4. Step 4: Simplify right side
    5,617,752x = 72,006,485,035,232.25
  5. Step 5: Solve for x
    x = 72,006,485,035,232.25/5,617,752
  6. Step 6: Final answer
    x = 12,817,668.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.