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Finding the Third Proportional to 4,909,684,384 and 10,769,908,949

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Solution

The third proportional to 4,909,684,384 and 10,769,908,949 is: 23,624,927,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909,684,384 : 10,769,908,949 = 10,769,908,949 : x
  2. Step 2: Convert to fraction form
    4,909,684,384/10,769,908,949 = 10,769,908,949/x
  3. Step 3: Cross multiply
    4,909,684,384x = 10,769,908,949 × 10,769,908,949
  4. Step 4: Simplify right side
    4,909,684,384x = 115,990,938,769,750,278,144
  5. Step 5: Solve for x
    x = 115,990,938,769,750,278,144/4,909,684,384
  6. Step 6: Final answer
    x = 23,624,927,734.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.