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Finding the Third Proportional to 407,631,688,953 and 607,912,598,169

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Solution

The third proportional to 407,631,688,953 and 607,912,598,169 is: 906,597,148,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,631,688,953 : 607,912,598,169 = 607,912,598,169 : x
  2. Step 2: Convert to fraction form
    407,631,688,953/607,912,598,169 = 607,912,598,169/x
  3. Step 3: Cross multiply
    407,631,688,953x = 607,912,598,169 × 607,912,598,169
  4. Step 4: Simplify right side
    407,631,688,953x = 369,557,727,012,584,037,548,032
  5. Step 5: Solve for x
    x = 369,557,727,012,584,037,548,032/407,631,688,953
  6. Step 6: Final answer
    x = 906,597,148,915.95

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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.