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Finding the Third Proportional to 13,107,686.63 and 19,661,526.56

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Solution

The third proportional to 13,107,686.63 and 19,661,526.56 is: 29,492,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107,686.63 : 19,661,526.56 = 19,661,526.56 : x
  2. Step 2: Convert to fraction form
    13,107,686.63/19,661,526.56 = 19,661,526.56/x
  3. Step 3: Cross multiply
    13,107,686.63x = 19,661,526.56 × 19,661,526.56
  4. Step 4: Simplify right side
    13,107,686.63x = 386,575,626,767,893.06
  5. Step 5: Solve for x
    x = 386,575,626,767,893.06/13,107,686.63
  6. Step 6: Final answer
    x = 29,492,284.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.