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Finding the Third Proportional to 6,611,908,189.50 and 14,386,030,947

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Solution

The third proportional to 6,611,908,189.50 and 14,386,030,947 is: 31,300,780,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611,908,189.50 : 14,386,030,947 = 14,386,030,947 : x
  2. Step 2: Convert to fraction form
    6,611,908,189.50/14,386,030,947 = 14,386,030,947/x
  3. Step 3: Cross multiply
    6,611,908,189.50x = 14,386,030,947 × 14,386,030,947
  4. Step 4: Simplify right side
    6,611,908,189.50x = 206,957,886,408,041,725,952
  5. Step 5: Solve for x
    x = 206,957,886,408,041,725,952/6,611,908,189.50
  6. Step 6: Final answer
    x = 31,300,780,421.71

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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.