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Finding the Third Proportional to 3,169,091 and 6,830,985

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Solution

The third proportional to 3,169,091 and 6,830,985 is: 14,724,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169,091 : 6,830,985 = 6,830,985 : x
  2. Step 2: Convert to fraction form
    3,169,091/6,830,985 = 6,830,985/x
  3. Step 3: Cross multiply
    3,169,091x = 6,830,985 × 6,830,985
  4. Step 4: Simplify right side
    3,169,091x = 46,662,356,070,225
  5. Step 5: Solve for x
    x = 46,662,356,070,225/3,169,091
  6. Step 6: Final answer
    x = 14,724,208.32

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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.