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Finding the Third Proportional to 49,509,260 and 75,686,898

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Solution

The third proportional to 49,509,260 and 75,686,898 is: 115,705,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509,260 : 75,686,898 = 75,686,898 : x
  2. Step 2: Convert to fraction form
    49,509,260/75,686,898 = 75,686,898/x
  3. Step 3: Cross multiply
    49,509,260x = 75,686,898 × 75,686,898
  4. Step 4: Simplify right side
    49,509,260x = 5,728,506,528,862,404
  5. Step 5: Solve for x
    x = 5,728,506,528,862,404/49,509,260
  6. Step 6: Final answer
    x = 115,705,759.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.