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Finding the Third Proportional to 23,449,070 and 51,668,784

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Solution

The third proportional to 23,449,070 and 51,668,784 is: 113,849,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449,070 : 51,668,784 = 51,668,784 : x
  2. Step 2: Convert to fraction form
    23,449,070/51,668,784 = 51,668,784/x
  3. Step 3: Cross multiply
    23,449,070x = 51,668,784 × 51,668,784
  4. Step 4: Simplify right side
    23,449,070x = 2,669,663,240,038,656
  5. Step 5: Solve for x
    x = 2,669,663,240,038,656/23,449,070
  6. Step 6: Final answer
    x = 113,849,429.42

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Why These Related Problems?

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