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Finding the Third Proportional to 26,492,509.13 and 35,782,476.75

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Solution

The third proportional to 26,492,509.13 and 35,782,476.75 is: 48,330,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492,509.13 : 35,782,476.75 = 35,782,476.75 : x
  2. Step 2: Convert to fraction form
    26,492,509.13/35,782,476.75 = 35,782,476.75/x
  3. Step 3: Cross multiply
    26,492,509.13x = 35,782,476.75 × 35,782,476.75
  4. Step 4: Simplify right side
    26,492,509.13x = 1,280,385,642,364,290.50
  5. Step 5: Solve for x
    x = 1,280,385,642,364,290.50/26,492,509.13
  6. Step 6: Final answer
    x = 48,330,101.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.