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Finding the Third Proportional to 23,027,280 and 47,684,928

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Solution

The third proportional to 23,027,280 and 47,684,928 is: 98,746,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027,280 : 47,684,928 = 47,684,928 : x
  2. Step 2: Convert to fraction form
    23,027,280/47,684,928 = 47,684,928/x
  3. Step 3: Cross multiply
    23,027,280x = 47,684,928 × 47,684,928
  4. Step 4: Simplify right side
    23,027,280x = 2,273,852,358,365,184
  5. Step 5: Solve for x
    x = 2,273,852,358,365,184/23,027,280
  6. Step 6: Final answer
    x = 98,746,024.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.