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Finding the Third Proportional to 38,580,695,010 and 83,072,962,557

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Solution

The third proportional to 38,580,695,010 and 83,072,962,557 is: 178,874,877,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,695,010 : 83,072,962,557 = 83,072,962,557 : x
  2. Step 2: Convert to fraction form
    38,580,695,010/83,072,962,557 = 83,072,962,557/x
  3. Step 3: Cross multiply
    38,580,695,010x = 83,072,962,557 × 83,072,962,557
  4. Step 4: Simplify right side
    38,580,695,010x = 6,901,117,107,996,724,297,728
  5. Step 5: Solve for x
    x = 6,901,117,107,996,724,297,728/38,580,695,010
  6. Step 6: Final answer
    x = 178,874,877,868.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.