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Finding the Third Proportional to 35,829,440 and 54,041,105.50

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Solution

The third proportional to 35,829,440 and 54,041,105.50 is: 81,509,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829,440 : 54,041,105.50 = 54,041,105.50 : x
  2. Step 2: Convert to fraction form
    35,829,440/54,041,105.50 = 54,041,105.50/x
  3. Step 3: Cross multiply
    35,829,440x = 54,041,105.50 × 54,041,105.50
  4. Step 4: Simplify right side
    35,829,440x = 2,920,441,083,662,130
  5. Step 5: Solve for x
    x = 2,920,441,083,662,130/35,829,440
  6. Step 6: Final answer
    x = 81,509,537.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.