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Finding the Third Proportional to 517,218,314 and 775,070,881.50

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Solution

The third proportional to 517,218,314 and 775,070,881.50 is: 1,161,472,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,218,314 : 775,070,881.50 = 775,070,881.50 : x
  2. Step 2: Convert to fraction form
    517,218,314/775,070,881.50 = 775,070,881.50/x
  3. Step 3: Cross multiply
    517,218,314x = 775,070,881.50 × 775,070,881.50
  4. Step 4: Simplify right side
    517,218,314x = 600,734,871,349,187,072
  5. Step 5: Solve for x
    x = 600,734,871,349,187,072/517,218,314
  6. Step 6: Final answer
    x = 1,161,472,544.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.