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Finding the Third Proportional to 9,570,814.50 and 14,711,005

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Solution

The third proportional to 9,570,814.50 and 14,711,005 is: 22,611,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,814.50 : 14,711,005 = 14,711,005 : x
  2. Step 2: Convert to fraction form
    9,570,814.50/14,711,005 = 14,711,005/x
  3. Step 3: Cross multiply
    9,570,814.50x = 14,711,005 × 14,711,005
  4. Step 4: Simplify right side
    9,570,814.50x = 216,413,668,110,025
  5. Step 5: Solve for x
    x = 216,413,668,110,025/9,570,814.50
  6. Step 6: Final answer
    x = 22,611,833.94

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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.