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Finding the Third Proportional to 2,411,004 and 5,157,568.50

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Solution

The third proportional to 2,411,004 and 5,157,568.50 is: 11,032,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,004 : 5,157,568.50 = 5,157,568.50 : x
  2. Step 2: Convert to fraction form
    2,411,004/5,157,568.50 = 5,157,568.50/x
  3. Step 3: Cross multiply
    2,411,004x = 5,157,568.50 × 5,157,568.50
  4. Step 4: Simplify right side
    2,411,004x = 26,600,512,832,192.25
  5. Step 5: Solve for x
    x = 26,600,512,832,192.25/2,411,004
  6. Step 6: Final answer
    x = 11,032,960.89

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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.