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Finding the Third Proportional to 369,014,012 and 519,064,696

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Solution

The third proportional to 369,014,012 and 519,064,696 is: 730,129,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,014,012 : 519,064,696 = 519,064,696 : x
  2. Step 2: Convert to fraction form
    369,014,012/519,064,696 = 519,064,696/x
  3. Step 3: Cross multiply
    369,014,012x = 519,064,696 × 519,064,696
  4. Step 4: Simplify right side
    369,014,012x = 269,428,158,633,572,416
  5. Step 5: Solve for x
    x = 269,428,158,633,572,416/369,014,012
  6. Step 6: Final answer
    x = 730,129,886.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.