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Finding the Third Proportional to 338,525,706 and 467,765,641.50

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Solution

The third proportional to 338,525,706 and 467,765,641.50 is: 646,345,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,525,706 : 467,765,641.50 = 467,765,641.50 : x
  2. Step 2: Convert to fraction form
    338,525,706/467,765,641.50 = 467,765,641.50/x
  3. Step 3: Cross multiply
    338,525,706x = 467,765,641.50 × 467,765,641.50
  4. Step 4: Simplify right side
    338,525,706x = 218,804,695,367,906,528
  5. Step 5: Solve for x
    x = 218,804,695,367,906,528/338,525,706
  6. Step 6: Final answer
    x = 646,345,880.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.