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Finding the Third Proportional to 407,631,692,632.48 and 607,912,603,186.48

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Solution

The third proportional to 407,631,692,632.48 and 607,912,603,186.48 is: 906,597,155,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,631,692,632.48 : 607,912,603,186.48 = 607,912,603,186.48 : x
  2. Step 2: Convert to fraction form
    407,631,692,632.48/607,912,603,186.48 = 607,912,603,186.48/x
  3. Step 3: Cross multiply
    407,631,692,632.48x = 607,912,603,186.48 × 607,912,603,186.48
  4. Step 4: Simplify right side
    407,631,692,632.48x = 369,557,733,112,962,646,802,432
  5. Step 5: Solve for x
    x = 369,557,733,112,962,646,802,432/407,631,692,632.48
  6. Step 6: Final answer
    x = 906,597,155,697.99

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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.