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Finding the Third Proportional to 9,764,246.25 and 21,264,332.63

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Solution

The third proportional to 9,764,246.25 and 21,264,332.63 is: 46,308,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,246.25 : 21,264,332.63 = 21,264,332.63 : x
  2. Step 2: Convert to fraction form
    9,764,246.25/21,264,332.63 = 21,264,332.63/x
  3. Step 3: Cross multiply
    9,764,246.25x = 21,264,332.63 × 21,264,332.63
  4. Step 4: Simplify right side
    9,764,246.25x = 452,171,841,986,639.38
  5. Step 5: Solve for x
    x = 452,171,841,986,639.38/9,764,246.25
  6. Step 6: Final answer
    x = 46,308,934.70

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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.