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Finding the Third Proportional to 13,835,849.63 and 32,030,672.06

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Solution

The third proportional to 13,835,849.63 and 32,030,672.06 is: 74,152,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,849.63 : 32,030,672.06 = 32,030,672.06 : x
  2. Step 2: Convert to fraction form
    13,835,849.63/32,030,672.06 = 32,030,672.06/x
  3. Step 3: Cross multiply
    13,835,849.63x = 32,030,672.06 × 32,030,672.06
  4. Step 4: Simplify right side
    13,835,849.63x = 1,025,963,952,775,418
  5. Step 5: Solve for x
    x = 1,025,963,952,775,418/13,835,849.63
  6. Step 6: Final answer
    x = 74,152,580.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.