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Finding the Third Proportional to 49,210,012 and 114,976,792

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Solution

The third proportional to 49,210,012 and 114,976,792 is: 268,637,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,210,012 : 114,976,792 = 114,976,792 : x
  2. Step 2: Convert to fraction form
    49,210,012/114,976,792 = 114,976,792/x
  3. Step 3: Cross multiply
    49,210,012x = 114,976,792 × 114,976,792
  4. Step 4: Simplify right side
    49,210,012x = 13,219,662,698,611,264
  5. Step 5: Solve for x
    x = 13,219,662,698,611,264/49,210,012
  6. Step 6: Final answer
    x = 268,637,664.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.