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Finding the Third Proportional to 14,365,298 and 31,009,612

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Solution

The third proportional to 14,365,298 and 31,009,612 is: 66,938,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365,298 : 31,009,612 = 31,009,612 : x
  2. Step 2: Convert to fraction form
    14,365,298/31,009,612 = 31,009,612/x
  3. Step 3: Cross multiply
    14,365,298x = 31,009,612 × 31,009,612
  4. Step 4: Simplify right side
    14,365,298x = 961,596,036,390,544
  5. Step 5: Solve for x
    x = 961,596,036,390,544/14,365,298
  6. Step 6: Final answer
    x = 66,938,815.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.