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Finding the Third Proportional to 15,290,501,599,728 and 32,761,984,447,152

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Solution

The third proportional to 15,290,501,599,728 and 32,761,984,447,152 is: 70,197,018,581,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290,501,599,728 : 32,761,984,447,152 = 32,761,984,447,152 : x
  2. Step 2: Convert to fraction form
    15,290,501,599,728/32,761,984,447,152 = 32,761,984,447,152/x
  3. Step 3: Cross multiply
    15,290,501,599,728x = 32,761,984,447,152 × 32,761,984,447,152
  4. Step 4: Simplify right side
    15,290,501,599,728x = 1,073,347,624,915,429,481,544,417,280
  5. Step 5: Solve for x
    x = 1,073,347,624,915,429,481,544,417,280/15,290,501,599,728
  6. Step 6: Final answer
    x = 70,197,018,581,425.94

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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.