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Finding the Third Proportional to 37,905,792 and 54,168,254.50

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Solution

The third proportional to 37,905,792 and 54,168,254.50 is: 77,407,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,905,792 : 54,168,254.50 = 54,168,254.50 : x
  2. Step 2: Convert to fraction form
    37,905,792/54,168,254.50 = 54,168,254.50/x
  3. Step 3: Cross multiply
    37,905,792x = 54,168,254.50 × 54,168,254.50
  4. Step 4: Simplify right side
    37,905,792x = 2,934,199,795,576,770
  5. Step 5: Solve for x
    x = 2,934,199,795,576,770/37,905,792
  6. Step 6: Final answer
    x = 77,407,689.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.