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Finding the Third Proportional to 10,390,409,652 and 22,685,384,616

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Solution

The third proportional to 10,390,409,652 and 22,685,384,616 is: 49,529,007,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390,409,652 : 22,685,384,616 = 22,685,384,616 : x
  2. Step 2: Convert to fraction form
    10,390,409,652/22,685,384,616 = 22,685,384,616/x
  3. Step 3: Cross multiply
    10,390,409,652x = 22,685,384,616 × 22,685,384,616
  4. Step 4: Simplify right side
    10,390,409,652x = 514,626,675,175,849,459,712
  5. Step 5: Solve for x
    x = 514,626,675,175,849,459,712/10,390,409,652
  6. Step 6: Final answer
    x = 49,529,007,268.43

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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.