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Finding the Third Proportional to 306,261,894 and 470,746,677

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Solution

The third proportional to 306,261,894 and 470,746,677 is: 723,571,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,894 : 470,746,677 = 470,746,677 : x
  2. Step 2: Convert to fraction form
    306,261,894/470,746,677 = 470,746,677/x
  3. Step 3: Cross multiply
    306,261,894x = 470,746,677 × 470,746,677
  4. Step 4: Simplify right side
    306,261,894x = 221,602,433,906,542,336
  5. Step 5: Solve for x
    x = 221,602,433,906,542,336/306,261,894
  6. Step 6: Final answer
    x = 723,571,682.43

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Why These Related Problems?

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