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Finding the Third Proportional to 5,623,596,357,336 and 8,603,472,778,142

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Solution

The third proportional to 5,623,596,357,336 and 8,603,472,778,142 is: 13,162,350,058,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623,596,357,336 : 8,603,472,778,142 = 8,603,472,778,142 : x
  2. Step 2: Convert to fraction form
    5,623,596,357,336/8,603,472,778,142 = 8,603,472,778,142/x
  3. Step 3: Cross multiply
    5,623,596,357,336x = 8,603,472,778,142 × 8,603,472,778,142
  4. Step 4: Simplify right side
    5,623,596,357,336x = 74,019,743,844,230,424,432,738,304
  5. Step 5: Solve for x
    x = 74,019,743,844,230,424,432,738,304/5,623,596,357,336
  6. Step 6: Final answer
    x = 13,162,350,058,725.57

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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.