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Finding the Third Proportional to 10,263,896.02 and 14,349,531.59

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Solution

The third proportional to 10,263,896.02 and 14,349,531.59 is: 20,061,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263,896.02 : 14,349,531.59 = 14,349,531.59 : x
  2. Step 2: Convert to fraction form
    10,263,896.02/14,349,531.59 = 14,349,531.59/x
  3. Step 3: Cross multiply
    10,263,896.02x = 14,349,531.59 × 14,349,531.59
  4. Step 4: Simplify right side
    10,263,896.02x = 205,909,056,735,832.31
  5. Step 5: Solve for x
    x = 205,909,056,735,832.31/10,263,896.02
  6. Step 6: Final answer
    x = 20,061,490.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.