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Finding the Third Proportional to 21,472,662.94 and 46,349,407.13

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Solution

The third proportional to 21,472,662.94 and 46,349,407.13 is: 100,046,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472,662.94 : 46,349,407.13 = 46,349,407.13 : x
  2. Step 2: Convert to fraction form
    21,472,662.94/46,349,407.13 = 46,349,407.13/x
  3. Step 3: Cross multiply
    21,472,662.94x = 46,349,407.13 × 46,349,407.13
  4. Step 4: Simplify right side
    21,472,662.94x = 2,148,267,540,839,000.75
  5. Step 5: Solve for x
    x = 2,148,267,540,839,000.75/21,472,662.94
  6. Step 6: Final answer
    x = 100,046,628.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.