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Finding the Third Proportional to 5,296,896,150 and 11,354,295,429

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Solution

The third proportional to 5,296,896,150 and 11,354,295,429 is: 24,338,786,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,896,150 : 11,354,295,429 = 11,354,295,429 : x
  2. Step 2: Convert to fraction form
    5,296,896,150/11,354,295,429 = 11,354,295,429/x
  3. Step 3: Cross multiply
    5,296,896,150x = 11,354,295,429 × 11,354,295,429
  4. Step 4: Simplify right side
    5,296,896,150x = 128,920,024,689,010,294,784
  5. Step 5: Solve for x
    x = 128,920,024,689,010,294,784/5,296,896,150
  6. Step 6: Final answer
    x = 24,338,786,534.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.