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Finding the Third Proportional to 3,316,902 and 6,968,010

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Solution

The third proportional to 3,316,902 and 6,968,010 is: 14,638,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316,902 : 6,968,010 = 6,968,010 : x
  2. Step 2: Convert to fraction form
    3,316,902/6,968,010 = 6,968,010/x
  3. Step 3: Cross multiply
    3,316,902x = 6,968,010 × 6,968,010
  4. Step 4: Simplify right side
    3,316,902x = 48,553,163,360,100
  5. Step 5: Solve for x
    x = 48,553,163,360,100/3,316,902
  6. Step 6: Final answer
    x = 14,638,106.09

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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.