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Finding the Third Proportional to 46,072,797,146 and 68,807,284,731

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Solution

The third proportional to 46,072,797,146 and 68,807,284,731 is: 102,760,039,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072,797,146 : 68,807,284,731 = 68,807,284,731 : x
  2. Step 2: Convert to fraction form
    46,072,797,146/68,807,284,731 = 68,807,284,731/x
  3. Step 3: Cross multiply
    46,072,797,146x = 68,807,284,731 × 68,807,284,731
  4. Step 4: Simplify right side
    46,072,797,146x = 4,734,442,432,052,906,164,224
  5. Step 5: Solve for x
    x = 4,734,442,432,052,906,164,224/46,072,797,146
  6. Step 6: Final answer
    x = 102,760,039,010.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.