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Finding the Third Proportional to 9,905,853.66 and 21,570,289.03

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Solution

The third proportional to 9,905,853.66 and 21,570,289.03 is: 46,969,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905,853.66 : 21,570,289.03 = 21,570,289.03 : x
  2. Step 2: Convert to fraction form
    9,905,853.66/21,570,289.03 = 21,570,289.03/x
  3. Step 3: Cross multiply
    9,905,853.66x = 21,570,289.03 × 21,570,289.03
  4. Step 4: Simplify right side
    9,905,853.66x = 465,277,368,891,664.06
  5. Step 5: Solve for x
    x = 465,277,368,891,664.06/9,905,853.66
  6. Step 6: Final answer
    x = 46,969,941.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.