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Finding the Third Proportional to 2,588,883,242 and 5,705,463,340

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Solution

The third proportional to 2,588,883,242 and 5,705,463,340 is: 12,573,881,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588,883,242 : 5,705,463,340 = 5,705,463,340 : x
  2. Step 2: Convert to fraction form
    2,588,883,242/5,705,463,340 = 5,705,463,340/x
  3. Step 3: Cross multiply
    2,588,883,242x = 5,705,463,340 × 5,705,463,340
  4. Step 4: Simplify right side
    2,588,883,242x = 32,552,311,924,083,953,664
  5. Step 5: Solve for x
    x = 32,552,311,924,083,953,664/2,588,883,242
  6. Step 6: Final answer
    x = 12,573,881,817.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.