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Finding the Third Proportional to 9,462,001.50 and 14,823,573.75

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Solution

The third proportional to 9,462,001.50 and 14,823,573.75 is: 23,223,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462,001.50 : 14,823,573.75 = 14,823,573.75 : x
  2. Step 2: Convert to fraction form
    9,462,001.50/14,823,573.75 = 14,823,573.75/x
  3. Step 3: Cross multiply
    9,462,001.50x = 14,823,573.75 × 14,823,573.75
  4. Step 4: Simplify right side
    9,462,001.50x = 219,738,338,721,689.06
  5. Step 5: Solve for x
    x = 219,738,338,721,689.06/9,462,001.50
  6. Step 6: Final answer
    x = 23,223,240.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.