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Finding the Third Proportional to 2,347,901,426 and 5,117,674,741

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Solution

The third proportional to 2,347,901,426 and 5,117,674,741 is: 11,154,895,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,901,426 : 5,117,674,741 = 5,117,674,741 : x
  2. Step 2: Convert to fraction form
    2,347,901,426/5,117,674,741 = 5,117,674,741/x
  3. Step 3: Cross multiply
    2,347,901,426x = 5,117,674,741 × 5,117,674,741
  4. Step 4: Simplify right side
    2,347,901,426x = 26,190,594,754,669,416,448
  5. Step 5: Solve for x
    x = 26,190,594,754,669,416,448/2,347,901,426
  6. Step 6: Final answer
    x = 11,154,895,373.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.