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Finding the Third Proportional to 35,465,856.75 and 76,402,831.50

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Solution

The third proportional to 35,465,856.75 and 76,402,831.50 is: 164,591,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465,856.75 : 76,402,831.50 = 76,402,831.50 : x
  2. Step 2: Convert to fraction form
    35,465,856.75/76,402,831.50 = 76,402,831.50/x
  3. Step 3: Cross multiply
    35,465,856.75x = 76,402,831.50 × 76,402,831.50
  4. Step 4: Simplify right side
    35,465,856.75x = 5,837,392,661,217,392
  5. Step 5: Solve for x
    x = 5,837,392,661,217,392/35,465,856.75
  6. Step 6: Final answer
    x = 164,591,897.56

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