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Finding the Third Proportional to 407,631,688,767 and 607,912,598,002.48

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Solution

The third proportional to 407,631,688,767 and 607,912,598,002.48 is: 906,597,148,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,631,688,767 : 607,912,598,002.48 = 607,912,598,002.48 : x
  2. Step 2: Convert to fraction form
    407,631,688,767/607,912,598,002.48 = 607,912,598,002.48/x
  3. Step 3: Cross multiply
    407,631,688,767x = 607,912,598,002.48 × 607,912,598,002.48
  4. Step 4: Simplify right side
    407,631,688,767x = 369,557,726,810,124,849,250,304
  5. Step 5: Solve for x
    x = 369,557,726,810,124,849,250,304/407,631,688,767
  6. Step 6: Final answer
    x = 906,597,148,832.96

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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.