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Finding the Third Proportional to 380,046,852 and 832,735,008

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Solution

The third proportional to 380,046,852 and 832,735,008 is: 1,824,637,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,046,852 : 832,735,008 = 832,735,008 : x
  2. Step 2: Convert to fraction form
    380,046,852/832,735,008 = 832,735,008/x
  3. Step 3: Cross multiply
    380,046,852x = 832,735,008 × 832,735,008
  4. Step 4: Simplify right side
    380,046,852x = 693,447,593,548,760,064
  5. Step 5: Solve for x
    x = 693,447,593,548,760,064/380,046,852
  6. Step 6: Final answer
    x = 1,824,637,120.13

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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.