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Finding the Third Proportional to 14,074,824,010 and 20,652,107,226

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Solution

The third proportional to 14,074,824,010 and 20,652,107,226 is: 30,303,010,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074,824,010 : 20,652,107,226 = 20,652,107,226 : x
  2. Step 2: Convert to fraction form
    14,074,824,010/20,652,107,226 = 20,652,107,226/x
  3. Step 3: Cross multiply
    14,074,824,010x = 20,652,107,226 × 20,652,107,226
  4. Step 4: Simplify right side
    14,074,824,010x = 426,509,532,874,201,432,064
  5. Step 5: Solve for x
    x = 426,509,532,874,201,432,064/14,074,824,010
  6. Step 6: Final answer
    x = 30,303,010,010.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.