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Finding the Third Proportional to 6,787,719,261 and 10,594,017,113.63

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Solution

The third proportional to 6,787,719,261 and 10,594,017,113.63 is: 16,534,743,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,719,261 : 10,594,017,113.63 = 10,594,017,113.63 : x
  2. Step 2: Convert to fraction form
    6,787,719,261/10,594,017,113.63 = 10,594,017,113.63/x
  3. Step 3: Cross multiply
    6,787,719,261x = 10,594,017,113.63 × 10,594,017,113.63
  4. Step 4: Simplify right side
    6,787,719,261x = 112,233,198,603,779,375,104
  5. Step 5: Solve for x
    x = 112,233,198,603,779,375,104/6,787,719,261
  6. Step 6: Final answer
    x = 16,534,743,746.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.