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Finding the Third Proportional to 9,264,780 and 13,365,668.25

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Solution

The third proportional to 9,264,780 and 13,365,668.25 is: 19,281,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264,780 : 13,365,668.25 = 13,365,668.25 : x
  2. Step 2: Convert to fraction form
    9,264,780/13,365,668.25 = 13,365,668.25/x
  3. Step 3: Cross multiply
    9,264,780x = 13,365,668.25 × 13,365,668.25
  4. Step 4: Simplify right side
    9,264,780x = 178,641,087,769,058.06
  5. Step 5: Solve for x
    x = 178,641,087,769,058.06/9,264,780
  6. Step 6: Final answer
    x = 19,281,740.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.