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Finding the Third Proportional to 6,521,038.50 and 14,301,789

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Solution

The third proportional to 6,521,038.50 and 14,301,789 is: 31,366,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521,038.50 : 14,301,789 = 14,301,789 : x
  2. Step 2: Convert to fraction form
    6,521,038.50/14,301,789 = 14,301,789/x
  3. Step 3: Cross multiply
    6,521,038.50x = 14,301,789 × 14,301,789
  4. Step 4: Simplify right side
    6,521,038.50x = 204,541,168,600,521
  5. Step 5: Solve for x
    x = 204,541,168,600,521/6,521,038.50
  6. Step 6: Final answer
    x = 31,366,348.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.