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Finding the Third Proportional to 9,748,262.04 and 13,627,965.87

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Solution

The third proportional to 9,748,262.04 and 13,627,965.87 is: 19,051,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,262.04 : 13,627,965.87 = 13,627,965.87 : x
  2. Step 2: Convert to fraction form
    9,748,262.04/13,627,965.87 = 13,627,965.87/x
  3. Step 3: Cross multiply
    9,748,262.04x = 13,627,965.87 × 13,627,965.87
  4. Step 4: Simplify right side
    9,748,262.04x = 185,721,453,677,241.16
  5. Step 5: Solve for x
    x = 185,721,453,677,241.16/9,748,262.04
  6. Step 6: Final answer
    x = 19,051,750.24

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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.