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Finding the Third Proportional to 10,607,664,585 and 23,098,623,224

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Solution

The third proportional to 10,607,664,585 and 23,098,623,224 is: 50,298,196,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607,664,585 : 23,098,623,224 = 23,098,623,224 : x
  2. Step 2: Convert to fraction form
    10,607,664,585/23,098,623,224 = 23,098,623,224/x
  3. Step 3: Cross multiply
    10,607,664,585x = 23,098,623,224 × 23,098,623,224
  4. Step 4: Simplify right side
    10,607,664,585x = 533,546,394,844,312,174,592
  5. Step 5: Solve for x
    x = 533,546,394,844,312,174,592/10,607,664,585
  6. Step 6: Final answer
    x = 50,298,196,230.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.