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Finding the Third Proportional to 306,263,718 and 470,749,328

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Solution

The third proportional to 306,263,718 and 470,749,328 is: 723,575,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,718 : 470,749,328 = 470,749,328 : x
  2. Step 2: Convert to fraction form
    306,263,718/470,749,328 = 470,749,328/x
  3. Step 3: Cross multiply
    306,263,718x = 470,749,328 × 470,749,328
  4. Step 4: Simplify right side
    306,263,718x = 221,604,929,812,451,584
  5. Step 5: Solve for x
    x = 221,604,929,812,451,584/306,263,718
  6. Step 6: Final answer
    x = 723,575,522.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.