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Finding the Third Proportional to 429,876,036 and 932,736,636

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Solution

The third proportional to 429,876,036 and 932,736,636 is: 2,023,833,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,876,036 : 932,736,636 = 932,736,636 : x
  2. Step 2: Convert to fraction form
    429,876,036/932,736,636 = 932,736,636/x
  3. Step 3: Cross multiply
    429,876,036x = 932,736,636 × 932,736,636
  4. Step 4: Simplify right side
    429,876,036x = 869,997,632,136,596,480
  5. Step 5: Solve for x
    x = 869,997,632,136,596,480/429,876,036
  6. Step 6: Final answer
    x = 2,023,833,755.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.