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Finding the Third Proportional to 909,695,326.50 and 1,397,403,302.63

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Solution

The third proportional to 909,695,326.50 and 1,397,403,302.63 is: 2,146,582,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,695,326.50 : 1,397,403,302.63 = 1,397,403,302.63 : x
  2. Step 2: Convert to fraction form
    909,695,326.50/1,397,403,302.63 = 1,397,403,302.63/x
  3. Step 3: Cross multiply
    909,695,326.50x = 1,397,403,302.63 × 1,397,403,302.63
  4. Step 4: Simplify right side
    909,695,326.50x = 1,952,735,990,187,257,344
  5. Step 5: Solve for x
    x = 1,952,735,990,187,257,344/909,695,326.50
  6. Step 6: Final answer
    x = 2,146,582,414.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.