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Finding the Third Proportional to 407,631,692,634 and 607,912,603,189

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Solution

The third proportional to 407,631,692,634 and 607,912,603,189 is: 906,597,155,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,631,692,634 : 607,912,603,189 = 607,912,603,189 : x
  2. Step 2: Convert to fraction form
    407,631,692,634/607,912,603,189 = 607,912,603,189/x
  3. Step 3: Cross multiply
    407,631,692,634x = 607,912,603,189 × 607,912,603,189
  4. Step 4: Simplify right side
    407,631,692,634x = 369,557,733,116,026,569,097,216
  5. Step 5: Solve for x
    x = 369,557,733,116,026,569,097,216/407,631,692,634
  6. Step 6: Final answer
    x = 906,597,155,702.12

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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.