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Finding the Third Proportional to 4,898,912 and 10,586,448

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Solution

The third proportional to 4,898,912 and 10,586,448 is: 22,877,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898,912 : 10,586,448 = 10,586,448 : x
  2. Step 2: Convert to fraction form
    4,898,912/10,586,448 = 10,586,448/x
  3. Step 3: Cross multiply
    4,898,912x = 10,586,448 × 10,586,448
  4. Step 4: Simplify right side
    4,898,912x = 112,072,881,256,704
  5. Step 5: Solve for x
    x = 112,072,881,256,704/4,898,912
  6. Step 6: Final answer
    x = 22,877,096.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.