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Finding the Third Proportional to 2,285,047,641 and 3,157,416,738.50

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Solution

The third proportional to 2,285,047,641 and 3,157,416,738.50 is: 4,362,832,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,047,641 : 3,157,416,738.50 = 3,157,416,738.50 : x
  2. Step 2: Convert to fraction form
    2,285,047,641/3,157,416,738.50 = 3,157,416,738.50/x
  3. Step 3: Cross multiply
    2,285,047,641x = 3,157,416,738.50 × 3,157,416,738.50
  4. Step 4: Simplify right side
    2,285,047,641x = 9,969,280,460,559,976,448
  5. Step 5: Solve for x
    x = 9,969,280,460,559,976,448/2,285,047,641
  6. Step 6: Final answer
    x = 4,362,832,652.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.