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Finding the Third Proportional to 10,026,037 and 14,616,559.50

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Solution

The third proportional to 10,026,037 and 14,616,559.50 is: 21,308,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026,037 : 14,616,559.50 = 14,616,559.50 : x
  2. Step 2: Convert to fraction form
    10,026,037/14,616,559.50 = 14,616,559.50/x
  3. Step 3: Cross multiply
    10,026,037x = 14,616,559.50 × 14,616,559.50
  4. Step 4: Simplify right side
    10,026,037x = 213,643,811,617,040.25
  5. Step 5: Solve for x
    x = 213,643,811,617,040.25/10,026,037
  6. Step 6: Final answer
    x = 21,308,899.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.