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Finding the Third Proportional to 6,692,403,328 and 10,124,678,456

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Solution

The third proportional to 6,692,403,328 and 10,124,678,456 is: 15,317,234,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692,403,328 : 10,124,678,456 = 10,124,678,456 : x
  2. Step 2: Convert to fraction form
    6,692,403,328/10,124,678,456 = 10,124,678,456/x
  3. Step 3: Cross multiply
    6,692,403,328x = 10,124,678,456 × 10,124,678,456
  4. Step 4: Simplify right side
    6,692,403,328x = 102,509,113,837,390,544,896
  5. Step 5: Solve for x
    x = 102,509,113,837,390,544,896/6,692,403,328
  6. Step 6: Final answer
    x = 15,317,234,902.52

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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.