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Finding the Third Proportional to 245,567,017,119 and 534,375,343,786.90

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Solution

The third proportional to 245,567,017,119 and 534,375,343,786.90 is: 1,162,847,565,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,567,017,119 : 534,375,343,786.90 = 534,375,343,786.90 : x
  2. Step 2: Convert to fraction form
    245,567,017,119/534,375,343,786.90 = 534,375,343,786.90/x
  3. Step 3: Cross multiply
    245,567,017,119x = 534,375,343,786.90 × 534,375,343,786.90
  4. Step 4: Simplify right side
    245,567,017,119x = 285,557,008,047,367,602,044,928
  5. Step 5: Solve for x
    x = 285,557,008,047,367,602,044,928/245,567,017,119
  6. Step 6: Final answer
    x = 1,162,847,565,595.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.