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Finding the Third Proportional to 9,869,243.77 and 22,007,762.02

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Solution

The third proportional to 9,869,243.77 and 22,007,762.02 is: 49,075,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,243.77 : 22,007,762.02 = 22,007,762.02 : x
  2. Step 2: Convert to fraction form
    9,869,243.77/22,007,762.02 = 22,007,762.02/x
  3. Step 3: Cross multiply
    9,869,243.77x = 22,007,762.02 × 22,007,762.02
  4. Step 4: Simplify right side
    9,869,243.77x = 484,341,588,936,386.56
  5. Step 5: Solve for x
    x = 484,341,588,936,386.56/9,869,243.77
  6. Step 6: Final answer
    x = 49,075,856.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.