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Finding the Third Proportional to 362,707,950.94 and 786,996,622.69

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Solution

The third proportional to 362,707,950.94 and 786,996,622.69 is: 1,707,609,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,707,950.94 : 786,996,622.69 = 786,996,622.69 : x
  2. Step 2: Convert to fraction form
    362,707,950.94/786,996,622.69 = 786,996,622.69/x
  3. Step 3: Cross multiply
    362,707,950.94x = 786,996,622.69 × 786,996,622.69
  4. Step 4: Simplify right side
    362,707,950.94x = 619,363,684,121,531,264
  5. Step 5: Solve for x
    x = 619,363,684,121,531,264/362,707,950.94
  6. Step 6: Final answer
    x = 1,707,609,889.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.