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Finding the Third Proportional to 2,426,663,886 and 5,228,194,200

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Solution

The third proportional to 2,426,663,886 and 5,228,194,200 is: 11,264,029,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426,663,886 : 5,228,194,200 = 5,228,194,200 : x
  2. Step 2: Convert to fraction form
    2,426,663,886/5,228,194,200 = 5,228,194,200/x
  3. Step 3: Cross multiply
    2,426,663,886x = 5,228,194,200 × 5,228,194,200
  4. Step 4: Simplify right side
    2,426,663,886x = 27,334,014,592,913,641,472
  5. Step 5: Solve for x
    x = 27,334,014,592,913,641,472/2,426,663,886
  6. Step 6: Final answer
    x = 11,264,029,909.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.