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Finding the Third Proportional to 10,365,904 and 22,554,948

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Solution

The third proportional to 10,365,904 and 22,554,948 is: 49,076,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,904 : 22,554,948 = 22,554,948 : x
  2. Step 2: Convert to fraction form
    10,365,904/22,554,948 = 22,554,948/x
  3. Step 3: Cross multiply
    10,365,904x = 22,554,948 × 22,554,948
  4. Step 4: Simplify right side
    10,365,904x = 508,725,679,282,704
  5. Step 5: Solve for x
    x = 508,725,679,282,704/10,365,904
  6. Step 6: Final answer
    x = 49,076,827.19

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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.