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Finding the Third Proportional to 5,705,142 and 12,685,870.50

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Solution

The third proportional to 5,705,142 and 12,685,870.50 is: 28,208,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705,142 : 12,685,870.50 = 12,685,870.50 : x
  2. Step 2: Convert to fraction form
    5,705,142/12,685,870.50 = 12,685,870.50/x
  3. Step 3: Cross multiply
    5,705,142x = 12,685,870.50 × 12,685,870.50
  4. Step 4: Simplify right side
    5,705,142x = 160,931,310,342,770.25
  5. Step 5: Solve for x
    x = 160,931,310,342,770.25/5,705,142
  6. Step 6: Final answer
    x = 28,208,116.53

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.