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Finding the Third Proportional to 9,701,707.50 and 21,124,611

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Solution

The third proportional to 9,701,707.50 and 21,124,611 is: 45,996,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701,707.50 : 21,124,611 = 21,124,611 : x
  2. Step 2: Convert to fraction form
    9,701,707.50/21,124,611 = 21,124,611/x
  3. Step 3: Cross multiply
    9,701,707.50x = 21,124,611 × 21,124,611
  4. Step 4: Simplify right side
    9,701,707.50x = 446,249,189,901,321
  5. Step 5: Solve for x
    x = 446,249,189,901,321/9,701,707.50
  6. Step 6: Final answer
    x = 45,996,974.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.