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Finding the Third Proportional to 10,223,767.50 and 21,883,989

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Solution

The third proportional to 10,223,767.50 and 21,883,989 is: 46,842,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223,767.50 : 21,883,989 = 21,883,989 : x
  2. Step 2: Convert to fraction form
    10,223,767.50/21,883,989 = 21,883,989/x
  3. Step 3: Cross multiply
    10,223,767.50x = 21,883,989 × 21,883,989
  4. Step 4: Simplify right side
    10,223,767.50x = 478,908,974,552,121
  5. Step 5: Solve for x
    x = 478,908,974,552,121/10,223,767.50
  6. Step 6: Final answer
    x = 46,842,709.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.