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Finding the Third Proportional to 55,721,537,817 and 85,202,892,450

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Solution

The third proportional to 55,721,537,817 and 85,202,892,450 is: 130,282,349,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,721,537,817 : 85,202,892,450 = 85,202,892,450 : x
  2. Step 2: Convert to fraction form
    55,721,537,817/85,202,892,450 = 85,202,892,450/x
  3. Step 3: Cross multiply
    55,721,537,817x = 85,202,892,450 × 85,202,892,450
  4. Step 4: Simplify right side
    55,721,537,817x = 7,259,532,881,846,267,281,408
  5. Step 5: Solve for x
    x = 7,259,532,881,846,267,281,408/55,721,537,817
  6. Step 6: Final answer
    x = 130,282,349,810.37

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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.