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Finding the Third Proportional to 30,448,961 and 71,854,097.50

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Solution

The third proportional to 30,448,961 and 71,854,097.50 is: 169,562,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448,961 : 71,854,097.50 = 71,854,097.50 : x
  2. Step 2: Convert to fraction form
    30,448,961/71,854,097.50 = 71,854,097.50/x
  3. Step 3: Cross multiply
    30,448,961x = 71,854,097.50 × 71,854,097.50
  4. Step 4: Simplify right side
    30,448,961x = 5,163,011,327,539,506
  5. Step 5: Solve for x
    x = 5,163,011,327,539,506/30,448,961
  6. Step 6: Final answer
    x = 169,562,807.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.