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Finding the Third Proportional to 489,917,696.63 and 725,692,800.38

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Solution

The third proportional to 489,917,696.63 and 725,692,800.38 is: 1,074,935,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,917,696.63 : 725,692,800.38 = 725,692,800.38 : x
  2. Step 2: Convert to fraction form
    489,917,696.63/725,692,800.38 = 725,692,800.38/x
  3. Step 3: Cross multiply
    489,917,696.63x = 725,692,800.38 × 725,692,800.38
  4. Step 4: Simplify right side
    489,917,696.63x = 526,630,040,516,109,632
  5. Step 5: Solve for x
    x = 526,630,040,516,109,632/489,917,696.63
  6. Step 6: Final answer
    x = 1,074,935,737.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.