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Finding the Third Proportional to 12,983,945.63 and 20,184,688.69

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Solution

The third proportional to 12,983,945.63 and 20,184,688.69 is: 31,378,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983,945.63 : 20,184,688.69 = 20,184,688.69 : x
  2. Step 2: Convert to fraction form
    12,983,945.63/20,184,688.69 = 20,184,688.69/x
  3. Step 3: Cross multiply
    12,983,945.63x = 20,184,688.69 × 20,184,688.69
  4. Step 4: Simplify right side
    12,983,945.63x = 407,421,657,411,290.50
  5. Step 5: Solve for x
    x = 407,421,657,411,290.50/12,983,945.63
  6. Step 6: Final answer
    x = 31,378,878.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.