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Finding the Third Proportional to 5,705,140.75 and 12,685,869.50

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Solution

The third proportional to 5,705,140.75 and 12,685,869.50 is: 28,208,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705,140.75 : 12,685,869.50 = 12,685,869.50 : x
  2. Step 2: Convert to fraction form
    5,705,140.75/12,685,869.50 = 12,685,869.50/x
  3. Step 3: Cross multiply
    5,705,140.75x = 12,685,869.50 × 12,685,869.50
  4. Step 4: Simplify right side
    5,705,140.75x = 160,931,284,971,030.25
  5. Step 5: Solve for x
    x = 160,931,284,971,030.25/5,705,140.75
  6. Step 6: Final answer
    x = 28,208,118.26

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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.