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Finding the Third Proportional to 6,520,907,406 and 14,322,865,776

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Solution

The third proportional to 6,520,907,406 and 14,322,865,776 is: 31,459,499,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520,907,406 : 14,322,865,776 = 14,322,865,776 : x
  2. Step 2: Convert to fraction form
    6,520,907,406/14,322,865,776 = 14,322,865,776/x
  3. Step 3: Cross multiply
    6,520,907,406x = 14,322,865,776 × 14,322,865,776
  4. Step 4: Simplify right side
    6,520,907,406x = 205,144,484,037,312,086,016
  5. Step 5: Solve for x
    x = 205,144,484,037,312,086,016/6,520,907,406
  6. Step 6: Final answer
    x = 31,459,499,616.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.