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Finding the Third Proportional to 4,587,286.50 and 9,877,531.50

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Solution

The third proportional to 4,587,286.50 and 9,877,531.50 is: 21,268,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587,286.50 : 9,877,531.50 = 9,877,531.50 : x
  2. Step 2: Convert to fraction form
    4,587,286.50/9,877,531.50 = 9,877,531.50/x
  3. Step 3: Cross multiply
    4,587,286.50x = 9,877,531.50 × 9,877,531.50
  4. Step 4: Simplify right side
    4,587,286.50x = 97,565,628,533,492.25
  5. Step 5: Solve for x
    x = 97,565,628,533,492.25/4,587,286.50
  6. Step 6: Final answer
    x = 21,268,701.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.