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Finding the Third Proportional to 10,564,194 and 23,153,550

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Solution

The third proportional to 10,564,194 and 23,153,550 is: 50,745,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564,194 : 23,153,550 = 23,153,550 : x
  2. Step 2: Convert to fraction form
    10,564,194/23,153,550 = 23,153,550/x
  3. Step 3: Cross multiply
    10,564,194x = 23,153,550 × 23,153,550
  4. Step 4: Simplify right side
    10,564,194x = 536,086,877,602,500
  5. Step 5: Solve for x
    x = 536,086,877,602,500/10,564,194
  6. Step 6: Final answer
    x = 50,745,648.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.