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Finding the Third Proportional to 130,456,683 and 279,587,832

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Solution

The third proportional to 130,456,683 and 279,587,832 is: 599,197,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,456,683 : 279,587,832 = 279,587,832 : x
  2. Step 2: Convert to fraction form
    130,456,683/279,587,832 = 279,587,832/x
  3. Step 3: Cross multiply
    130,456,683x = 279,587,832 × 279,587,832
  4. Step 4: Simplify right side
    130,456,683x = 78,169,355,802,460,224
  5. Step 5: Solve for x
    x = 78,169,355,802,460,224/130,456,683
  6. Step 6: Final answer
    x = 599,197,787.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.