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Finding the Third Proportional to 3,316,898 and 6,968,002

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Solution

The third proportional to 3,316,898 and 6,968,002 is: 14,638,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316,898 : 6,968,002 = 6,968,002 : x
  2. Step 2: Convert to fraction form
    3,316,898/6,968,002 = 6,968,002/x
  3. Step 3: Cross multiply
    3,316,898x = 6,968,002 × 6,968,002
  4. Step 4: Simplify right side
    3,316,898x = 48,553,051,872,004
  5. Step 5: Solve for x
    x = 48,553,051,872,004/3,316,898
  6. Step 6: Final answer
    x = 14,638,090.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.