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Finding the Third Proportional to 407,631,688,951 and 607,912,598,166

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Solution

The third proportional to 407,631,688,951 and 607,912,598,166 is: 906,597,148,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,631,688,951 : 607,912,598,166 = 607,912,598,166 : x
  2. Step 2: Convert to fraction form
    407,631,688,951/607,912,598,166 = 607,912,598,166/x
  3. Step 3: Cross multiply
    407,631,688,951x = 607,912,598,166 × 607,912,598,166
  4. Step 4: Simplify right side
    407,631,688,951x = 369,557,727,008,936,603,680,768
  5. Step 5: Solve for x
    x = 369,557,727,008,936,603,680,768/407,631,688,951
  6. Step 6: Final answer
    x = 906,597,148,911.45

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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.