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Finding the Third Proportional to 6,458,402 and 13,585,972

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Solution

The third proportional to 6,458,402 and 13,585,972 is: 28,579,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458,402 : 13,585,972 = 13,585,972 : x
  2. Step 2: Convert to fraction form
    6,458,402/13,585,972 = 13,585,972/x
  3. Step 3: Cross multiply
    6,458,402x = 13,585,972 × 13,585,972
  4. Step 4: Simplify right side
    6,458,402x = 184,578,635,184,784
  5. Step 5: Solve for x
    x = 184,578,635,184,784/6,458,402
  6. Step 6: Final answer
    x = 28,579,613.84

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