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Finding the Third Proportional to 407,631,688,775 and 607,912,598,013

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Solution

The third proportional to 407,631,688,775 and 607,912,598,013 is: 906,597,148,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,631,688,775 : 607,912,598,013 = 607,912,598,013 : x
  2. Step 2: Convert to fraction form
    407,631,688,775/607,912,598,013 = 607,912,598,013/x
  3. Step 3: Cross multiply
    407,631,688,775x = 607,912,598,013 × 607,912,598,013
  4. Step 4: Simplify right side
    407,631,688,775x = 369,557,726,822,915,328,966,656
  5. Step 5: Solve for x
    x = 369,557,726,822,915,328,966,656/407,631,688,775
  6. Step 6: Final answer
    x = 906,597,148,846.54

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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.