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Finding the Third Proportional to 472,314,109.64 and 1,024,912,100.81

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Solution

The third proportional to 472,314,109.64 and 1,024,912,100.81 is: 2,224,038,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,314,109.64 : 1,024,912,100.81 = 1,024,912,100.81 : x
  2. Step 2: Convert to fraction form
    472,314,109.64/1,024,912,100.81 = 1,024,912,100.81/x
  3. Step 3: Cross multiply
    472,314,109.64x = 1,024,912,100.81 × 1,024,912,100.81
  4. Step 4: Simplify right side
    472,314,109.64x = 1,050,444,814,391,892,224
  5. Step 5: Solve for x
    x = 1,050,444,814,391,892,224/472,314,109.64
  6. Step 6: Final answer
    x = 2,224,038,606.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.