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Finding the Third Proportional to 5,296,896,154 and 11,354,295,437

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Solution

The third proportional to 5,296,896,154 and 11,354,295,437 is: 24,338,786,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,896,154 : 11,354,295,437 = 11,354,295,437 : x
  2. Step 2: Convert to fraction form
    5,296,896,154/11,354,295,437 = 11,354,295,437/x
  3. Step 3: Cross multiply
    5,296,896,154x = 11,354,295,437 × 11,354,295,437
  4. Step 4: Simplify right side
    5,296,896,154x = 128,920,024,870,679,019,520
  5. Step 5: Solve for x
    x = 128,920,024,870,679,019,520/5,296,896,154
  6. Step 6: Final answer
    x = 24,338,786,550.18

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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.