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Finding the Third Proportional to 9,570,816 and 14,711,007

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Solution

The third proportional to 9,570,816 and 14,711,007 is: 22,611,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,816 : 14,711,007 = 14,711,007 : x
  2. Step 2: Convert to fraction form
    9,570,816/14,711,007 = 14,711,007/x
  3. Step 3: Cross multiply
    9,570,816x = 14,711,007 × 14,711,007
  4. Step 4: Simplify right side
    9,570,816x = 216,413,726,954,049
  5. Step 5: Solve for x
    x = 216,413,726,954,049/9,570,816
  6. Step 6: Final answer
    x = 22,611,836.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.