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Finding the Third Proportional to 9,869,253 and 22,007,784

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Solution

The third proportional to 9,869,253 and 22,007,784 is: 49,075,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,253 : 22,007,784 = 22,007,784 : x
  2. Step 2: Convert to fraction form
    9,869,253/22,007,784 = 22,007,784/x
  3. Step 3: Cross multiply
    9,869,253x = 22,007,784 × 22,007,784
  4. Step 4: Simplify right side
    9,869,253x = 484,342,556,590,656
  5. Step 5: Solve for x
    x = 484,342,556,590,656/9,869,253
  6. Step 6: Final answer
    x = 49,075,908.44

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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.