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Finding the Third Proportional to 34,299,298 and 71,421,284

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Solution

The third proportional to 34,299,298 and 71,421,284 is: 148,720,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,299,298 : 71,421,284 = 71,421,284 : x
  2. Step 2: Convert to fraction form
    34,299,298/71,421,284 = 71,421,284/x
  3. Step 3: Cross multiply
    34,299,298x = 71,421,284 × 71,421,284
  4. Step 4: Simplify right side
    34,299,298x = 5,100,999,808,208,656
  5. Step 5: Solve for x
    x = 5,100,999,808,208,656/34,299,298
  6. Step 6: Final answer
    x = 148,720,239.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.