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Finding the Third Proportional to 5,403,742.88 and 8,216,969.06

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Solution

The third proportional to 5,403,742.88 and 8,216,969.06 is: 12,494,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403,742.88 : 8,216,969.06 = 8,216,969.06 : x
  2. Step 2: Convert to fraction form
    5,403,742.88/8,216,969.06 = 8,216,969.06/x
  3. Step 3: Cross multiply
    5,403,742.88x = 8,216,969.06 × 8,216,969.06
  4. Step 4: Simplify right side
    5,403,742.88x = 67,518,580,574,082.12
  5. Step 5: Solve for x
    x = 67,518,580,574,082.12/5,403,742.88
  6. Step 6: Final answer
    x = 12,494,780.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.