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Finding the Third Proportional to 6,611,908,176 and 14,386,030,920

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Solution

The third proportional to 6,611,908,176 and 14,386,030,920 is: 31,300,780,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611,908,176 : 14,386,030,920 = 14,386,030,920 : x
  2. Step 2: Convert to fraction form
    6,611,908,176/14,386,030,920 = 14,386,030,920/x
  3. Step 3: Cross multiply
    6,611,908,176x = 14,386,030,920 × 14,386,030,920
  4. Step 4: Simplify right side
    6,611,908,176x = 206,957,885,631,196,037,120
  5. Step 5: Solve for x
    x = 206,957,885,631,196,037,120/6,611,908,176
  6. Step 6: Final answer
    x = 31,300,780,368.13

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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.