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Finding the Third Proportional to 6,611,908,195 and 14,386,030,957

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Solution

The third proportional to 6,611,908,195 and 14,386,030,957 is: 31,300,780,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611,908,195 : 14,386,030,957 = 14,386,030,957 : x
  2. Step 2: Convert to fraction form
    6,611,908,195/14,386,030,957 = 14,386,030,957/x
  3. Step 3: Cross multiply
    6,611,908,195x = 14,386,030,957 × 14,386,030,957
  4. Step 4: Simplify right side
    6,611,908,195x = 206,957,886,695,762,329,600
  5. Step 5: Solve for x
    x = 206,957,886,695,762,329,600/6,611,908,195
  6. Step 6: Final answer
    x = 31,300,780,439.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.