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Finding the Third Proportional to 34,737,428 and 51,095,747.50

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Solution

The third proportional to 34,737,428 and 51,095,747.50 is: 75,157,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737,428 : 51,095,747.50 = 51,095,747.50 : x
  2. Step 2: Convert to fraction form
    34,737,428/51,095,747.50 = 51,095,747.50/x
  3. Step 3: Cross multiply
    34,737,428x = 51,095,747.50 × 51,095,747.50
  4. Step 4: Simplify right side
    34,737,428x = 2,610,775,412,583,756
  5. Step 5: Solve for x
    x = 2,610,775,412,583,756/34,737,428
  6. Step 6: Final answer
    x = 75,157,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.