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Finding the Third Proportional to 35,986,909.50 and 77,708,025

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Solution

The third proportional to 35,986,909.50 and 77,708,025 is: 167,798,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,909.50 : 77,708,025 = 77,708,025 : x
  2. Step 2: Convert to fraction form
    35,986,909.50/77,708,025 = 77,708,025/x
  3. Step 3: Cross multiply
    35,986,909.50x = 77,708,025 × 77,708,025
  4. Step 4: Simplify right side
    35,986,909.50x = 6,038,537,149,400,625
  5. Step 5: Solve for x
    x = 6,038,537,149,400,625/35,986,909.50
  6. Step 6: Final answer
    x = 167,798,158.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.