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Finding the Third Proportional to 56,776,174 and 85,069,807

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Solution

The third proportional to 56,776,174 and 85,069,807 is: 127,463,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,776,174 : 85,069,807 = 85,069,807 : x
  2. Step 2: Convert to fraction form
    56,776,174/85,069,807 = 85,069,807/x
  3. Step 3: Cross multiply
    56,776,174x = 85,069,807 × 85,069,807
  4. Step 4: Simplify right side
    56,776,174x = 7,236,872,063,017,249
  5. Step 5: Solve for x
    x = 7,236,872,063,017,249/56,776,174
  6. Step 6: Final answer
    x = 127,463,186.64

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Why These Related Problems?

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