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Finding the Third Proportional to 42,621,459.19 and 68,641,892.44

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Solution

The third proportional to 42,621,459.19 and 68,641,892.44 is: 110,547,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,621,459.19 : 68,641,892.44 = 68,641,892.44 : x
  2. Step 2: Convert to fraction form
    42,621,459.19/68,641,892.44 = 68,641,892.44/x
  3. Step 3: Cross multiply
    42,621,459.19x = 68,641,892.44 × 68,641,892.44
  4. Step 4: Simplify right side
    42,621,459.19x = 4,711,709,397,401,320
  5. Step 5: Solve for x
    x = 4,711,709,397,401,320/42,621,459.19
  6. Step 6: Final answer
    x = 110,547,819.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.