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Finding the Third Proportional to 10,365,915 and 22,554,967

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Solution

The third proportional to 10,365,915 and 22,554,967 is: 49,076,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,915 : 22,554,967 = 22,554,967 : x
  2. Step 2: Convert to fraction form
    10,365,915/22,554,967 = 22,554,967/x
  3. Step 3: Cross multiply
    10,365,915x = 22,554,967 × 22,554,967
  4. Step 4: Simplify right side
    10,365,915x = 508,726,536,371,089
  5. Step 5: Solve for x
    x = 508,726,536,371,089/10,365,915
  6. Step 6: Final answer
    x = 49,076,857.80

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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.