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Finding the Third Proportional to 10,277,306,688 and 16,353,215,326

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Solution

The third proportional to 10,277,306,688 and 16,353,215,326 is: 26,021,180,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277,306,688 : 16,353,215,326 = 16,353,215,326 : x
  2. Step 2: Convert to fraction form
    10,277,306,688/16,353,215,326 = 16,353,215,326/x
  3. Step 3: Cross multiply
    10,277,306,688x = 16,353,215,326 × 16,353,215,326
  4. Step 4: Simplify right side
    10,277,306,688x = 267,427,651,498,521,296,896
  5. Step 5: Solve for x
    x = 267,427,651,498,521,296,896/10,277,306,688
  6. Step 6: Final answer
    x = 26,021,180,414.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.