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Finding the Third Proportional to 35,917,509 and 54,773,014.50

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Solution

The third proportional to 35,917,509 and 54,773,014.50 is: 83,527,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,917,509 : 54,773,014.50 = 54,773,014.50 : x
  2. Step 2: Convert to fraction form
    35,917,509/54,773,014.50 = 54,773,014.50/x
  3. Step 3: Cross multiply
    35,917,509x = 54,773,014.50 × 54,773,014.50
  4. Step 4: Simplify right side
    35,917,509x = 3,000,083,117,417,210
  5. Step 5: Solve for x
    x = 3,000,083,117,417,210/35,917,509
  6. Step 6: Final answer
    x = 83,527,037.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.