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Finding the Third Proportional to 9,501,998.50 and 20,746,347.50

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Solution

The third proportional to 9,501,998.50 and 20,746,347.50 is: 45,296,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501,998.50 : 20,746,347.50 = 20,746,347.50 : x
  2. Step 2: Convert to fraction form
    9,501,998.50/20,746,347.50 = 20,746,347.50/x
  3. Step 3: Cross multiply
    9,501,998.50x = 20,746,347.50 × 20,746,347.50
  4. Step 4: Simplify right side
    9,501,998.50x = 430,410,934,590,756.25
  5. Step 5: Solve for x
    x = 430,410,934,590,756.25/9,501,998.50
  6. Step 6: Final answer
    x = 45,296,885.13

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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.