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Finding the Third Proportional to 301,886,984 and 646,827,232

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Solution

The third proportional to 301,886,984 and 646,827,232 is: 1,385,900,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,886,984 : 646,827,232 = 646,827,232 : x
  2. Step 2: Convert to fraction form
    301,886,984/646,827,232 = 646,827,232/x
  3. Step 3: Cross multiply
    301,886,984x = 646,827,232 × 646,827,232
  4. Step 4: Simplify right side
    301,886,984x = 418,385,468,056,781,824
  5. Step 5: Solve for x
    x = 418,385,468,056,781,824/301,886,984
  6. Step 6: Final answer
    x = 1,385,900,983.58

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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.