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Finding the Third Proportional to 3,441,915,688 and 5,203,851,324

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Solution

The third proportional to 3,441,915,688 and 5,203,851,324 is: 7,867,731,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441,915,688 : 5,203,851,324 = 5,203,851,324 : x
  2. Step 2: Convert to fraction form
    3,441,915,688/5,203,851,324 = 5,203,851,324/x
  3. Step 3: Cross multiply
    3,441,915,688x = 5,203,851,324 × 5,203,851,324
  4. Step 4: Simplify right side
    3,441,915,688x = 27,080,068,602,296,553,472
  5. Step 5: Solve for x
    x = 27,080,068,602,296,553,472/3,441,915,688
  6. Step 6: Final answer
    x = 7,867,731,535.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.