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Finding the Third Proportional to 6,509,836 and 14,259,776

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Solution

The third proportional to 6,509,836 and 14,259,776 is: 31,235,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,836 : 14,259,776 = 14,259,776 : x
  2. Step 2: Convert to fraction form
    6,509,836/14,259,776 = 14,259,776/x
  3. Step 3: Cross multiply
    6,509,836x = 14,259,776 × 14,259,776
  4. Step 4: Simplify right side
    6,509,836x = 203,341,211,570,176
  5. Step 5: Solve for x
    x = 203,341,211,570,176/6,509,836
  6. Step 6: Final answer
    x = 31,235,996.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.