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Finding the Third Proportional to 5,623,596,357,339 and 8,603,472,778,147

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Solution

The third proportional to 5,623,596,357,339 and 8,603,472,778,147 is: 13,162,350,058,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623,596,357,339 : 8,603,472,778,147 = 8,603,472,778,147 : x
  2. Step 2: Convert to fraction form
    5,623,596,357,339/8,603,472,778,147 = 8,603,472,778,147/x
  3. Step 3: Cross multiply
    5,623,596,357,339x = 8,603,472,778,147 × 8,603,472,778,147
  4. Step 4: Simplify right side
    5,623,596,357,339x = 74,019,743,844,316,461,217,611,776
  5. Step 5: Solve for x
    x = 74,019,743,844,316,461,217,611,776/5,623,596,357,339
  6. Step 6: Final answer
    x = 13,162,350,058,733.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.