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Finding the Third Proportional to 6,506,509 and 14,133,079

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Solution

The third proportional to 6,506,509 and 14,133,079 is: 30,699,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506,509 : 14,133,079 = 14,133,079 : x
  2. Step 2: Convert to fraction form
    6,506,509/14,133,079 = 14,133,079/x
  3. Step 3: Cross multiply
    6,506,509x = 14,133,079 × 14,133,079
  4. Step 4: Simplify right side
    6,506,509x = 199,743,922,020,241
  5. Step 5: Solve for x
    x = 199,743,922,020,241/6,506,509
  6. Step 6: Final answer
    x = 30,699,092.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.