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Finding the Third Proportional to 22,784,231 and 46,414,534

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Solution

The third proportional to 22,784,231 and 46,414,534 is: 94,552,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784,231 : 46,414,534 = 46,414,534 : x
  2. Step 2: Convert to fraction form
    22,784,231/46,414,534 = 46,414,534/x
  3. Step 3: Cross multiply
    22,784,231x = 46,414,534 × 46,414,534
  4. Step 4: Simplify right side
    22,784,231x = 2,154,308,966,437,156
  5. Step 5: Solve for x
    x = 2,154,308,966,437,156/22,784,231
  6. Step 6: Final answer
    x = 94,552,630.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.