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Finding the Third Proportional to 9,758,913.75 and 21,433,298.63

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Solution

The third proportional to 9,758,913.75 and 21,433,298.63 is: 47,073,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758,913.75 : 21,433,298.63 = 21,433,298.63 : x
  2. Step 2: Convert to fraction form
    9,758,913.75/21,433,298.63 = 21,433,298.63/x
  3. Step 3: Cross multiply
    9,758,913.75x = 21,433,298.63 × 21,433,298.63
  4. Step 4: Simplify right side
    9,758,913.75x = 459,386,289,948,426.88
  5. Step 5: Solve for x
    x = 459,386,289,948,426.88/9,758,913.75
  6. Step 6: Final answer
    x = 47,073,506.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.