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Finding the Third Proportional to 407,631,688,769 and 607,912,598,005

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Solution

The third proportional to 407,631,688,769 and 607,912,598,005 is: 906,597,148,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,631,688,769 : 607,912,598,005 = 607,912,598,005 : x
  2. Step 2: Convert to fraction form
    407,631,688,769/607,912,598,005 = 607,912,598,005/x
  3. Step 3: Cross multiply
    407,631,688,769x = 607,912,598,005 × 607,912,598,005
  4. Step 4: Simplify right side
    407,631,688,769x = 369,557,726,813,188,704,436,224
  5. Step 5: Solve for x
    x = 369,557,726,813,188,704,436,224/407,631,688,769
  6. Step 6: Final answer
    x = 906,597,148,836.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.