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Finding the Third Proportional to 56,702,786 and 85,035,747

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Solution

The third proportional to 56,702,786 and 85,035,747 is: 127,525,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702,786 : 85,035,747 = 85,035,747 : x
  2. Step 2: Convert to fraction form
    56,702,786/85,035,747 = 85,035,747/x
  3. Step 3: Cross multiply
    56,702,786x = 85,035,747 × 85,035,747
  4. Step 4: Simplify right side
    56,702,786x = 7,231,078,267,848,009
  5. Step 5: Solve for x
    x = 7,231,078,267,848,009/56,702,786
  6. Step 6: Final answer
    x = 127,525,978.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.