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Finding the Third Proportional to 14,570,271 and 31,777,421.63

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Solution

The third proportional to 14,570,271 and 31,777,421.63 is: 69,305,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570,271 : 31,777,421.63 = 31,777,421.63 : x
  2. Step 2: Convert to fraction form
    14,570,271/31,777,421.63 = 31,777,421.63/x
  3. Step 3: Cross multiply
    14,570,271x = 31,777,421.63 × 31,777,421.63
  4. Step 4: Simplify right side
    14,570,271x = 1,009,804,525,133,017.62
  5. Step 5: Solve for x
    x = 1,009,804,525,133,017.62/14,570,271
  6. Step 6: Final answer
    x = 69,305,816.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.