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Finding the Third Proportional to 306,261,896 and 470,746,680

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Solution

The third proportional to 306,261,896 and 470,746,680 is: 723,571,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,896 : 470,746,680 = 470,746,680 : x
  2. Step 2: Convert to fraction form
    306,261,896/470,746,680 = 470,746,680/x
  3. Step 3: Cross multiply
    306,261,896x = 470,746,680 × 470,746,680
  4. Step 4: Simplify right side
    306,261,896x = 221,602,436,731,022,400
  5. Step 5: Solve for x
    x = 221,602,436,731,022,400/306,261,896
  6. Step 6: Final answer
    x = 723,571,686.93

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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.