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Finding the Third Proportional to 262,385,347.50 and 607,438,180.13

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Solution

The third proportional to 262,385,347.50 and 607,438,180.13 is: 1,406,256,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,385,347.50 : 607,438,180.13 = 607,438,180.13 : x
  2. Step 2: Convert to fraction form
    262,385,347.50/607,438,180.13 = 607,438,180.13/x
  3. Step 3: Cross multiply
    262,385,347.50x = 607,438,180.13 × 607,438,180.13
  4. Step 4: Simplify right side
    262,385,347.50x = 368,981,142,673,571,968
  5. Step 5: Solve for x
    x = 368,981,142,673,571,968/262,385,347.50
  6. Step 6: Final answer
    x = 1,406,256,661.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.