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Finding the Third Proportional to 3,433,886,403.75 and 7,438,242,280.50

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Solution

The third proportional to 3,433,886,403.75 and 7,438,242,280.50 is: 16,112,195,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,886,403.75 : 7,438,242,280.50 = 7,438,242,280.50 : x
  2. Step 2: Convert to fraction form
    3,433,886,403.75/7,438,242,280.50 = 7,438,242,280.50/x
  3. Step 3: Cross multiply
    3,433,886,403.75x = 7,438,242,280.50 × 7,438,242,280.50
  4. Step 4: Simplify right side
    3,433,886,403.75x = 55,327,448,223,417,843,712
  5. Step 5: Solve for x
    x = 55,327,448,223,417,843,712/3,433,886,403.75
  6. Step 6: Final answer
    x = 16,112,195,255.79

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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.