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Finding the Third Proportional to 10,108,390 and 14,455,097.50

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Solution

The third proportional to 10,108,390 and 14,455,097.50 is: 20,670,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108,390 : 14,455,097.50 = 14,455,097.50 : x
  2. Step 2: Convert to fraction form
    10,108,390/14,455,097.50 = 14,455,097.50/x
  3. Step 3: Cross multiply
    10,108,390x = 14,455,097.50 × 14,455,097.50
  4. Step 4: Simplify right side
    10,108,390x = 208,949,843,734,506.25
  5. Step 5: Solve for x
    x = 208,949,843,734,506.25/10,108,390
  6. Step 6: Final answer
    x = 20,670,932.14

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.