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Finding the Third Proportional to 5,582,600,436 and 8,643,094,110

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Solution

The third proportional to 5,582,600,436 and 8,643,094,110 is: 13,381,411,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582,600,436 : 8,643,094,110 = 8,643,094,110 : x
  2. Step 2: Convert to fraction form
    5,582,600,436/8,643,094,110 = 8,643,094,110/x
  3. Step 3: Cross multiply
    5,582,600,436x = 8,643,094,110 × 8,643,094,110
  4. Step 4: Simplify right side
    5,582,600,436x = 74,703,075,794,316,689,408
  5. Step 5: Solve for x
    x = 74,703,075,794,316,689,408/5,582,600,436
  6. Step 6: Final answer
    x = 13,381,411,879.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.