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Finding the Third Proportional to 30,845,196 and 67,000,284

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Solution

The third proportional to 30,845,196 and 67,000,284 is: 145,534,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845,196 : 67,000,284 = 67,000,284 : x
  2. Step 2: Convert to fraction form
    30,845,196/67,000,284 = 67,000,284/x
  3. Step 3: Cross multiply
    30,845,196x = 67,000,284 × 67,000,284
  4. Step 4: Simplify right side
    30,845,196x = 4,489,038,056,080,656
  5. Step 5: Solve for x
    x = 4,489,038,056,080,656/30,845,196
  6. Step 6: Final answer
    x = 145,534,431.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.