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Finding the Third Proportional to 32,656,569,296,402 and 69,971,152,256,068

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Solution

The third proportional to 32,656,569,296,402 and 69,971,152,256,068 is: 149,922,733,879,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656,569,296,402 : 69,971,152,256,068 = 69,971,152,256,068 : x
  2. Step 2: Convert to fraction form
    32,656,569,296,402/69,971,152,256,068 = 69,971,152,256,068/x
  3. Step 3: Cross multiply
    32,656,569,296,402x = 69,971,152,256,068 × 69,971,152,256,068
  4. Step 4: Simplify right side
    32,656,569,296,402x = 4,895,962,148,041,850,003,054,919,680
  5. Step 5: Solve for x
    x = 4,895,962,148,041,850,003,054,919,680/32,656,569,296,402
  6. Step 6: Final answer
    x = 149,922,733,879,497.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.