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Finding the Third Proportional to 35,986,374 and 77,707,014.50

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Solution

The third proportional to 35,986,374 and 77,707,014.50 is: 167,796,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,374 : 77,707,014.50 = 77,707,014.50 : x
  2. Step 2: Convert to fraction form
    35,986,374/77,707,014.50 = 77,707,014.50/x
  3. Step 3: Cross multiply
    35,986,374x = 77,707,014.50 × 77,707,014.50
  4. Step 4: Simplify right side
    35,986,374x = 6,038,380,102,503,210
  5. Step 5: Solve for x
    x = 6,038,380,102,503,210/35,986,374
  6. Step 6: Final answer
    x = 167,796,291.52

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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.