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Finding the Third Proportional to 10,730,064 and 23,289,216

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Solution

The third proportional to 10,730,064 and 23,289,216 is: 50,548,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730,064 : 23,289,216 = 23,289,216 : x
  2. Step 2: Convert to fraction form
    10,730,064/23,289,216 = 23,289,216/x
  3. Step 3: Cross multiply
    10,730,064x = 23,289,216 × 23,289,216
  4. Step 4: Simplify right side
    10,730,064x = 542,387,581,894,656
  5. Step 5: Solve for x
    x = 542,387,581,894,656/10,730,064
  6. Step 6: Final answer
    x = 50,548,401.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.