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Finding the Third Proportional to 306,261,908 and 470,746,698

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Solution

The third proportional to 306,261,908 and 470,746,698 is: 723,571,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,908 : 470,746,698 = 470,746,698 : x
  2. Step 2: Convert to fraction form
    306,261,908/470,746,698 = 470,746,698/x
  3. Step 3: Cross multiply
    306,261,908x = 470,746,698 × 470,746,698
  4. Step 4: Simplify right side
    306,261,908x = 221,602,453,677,903,200
  5. Step 5: Solve for x
    x = 221,602,453,677,903,200/306,261,908
  6. Step 6: Final answer
    x = 723,571,713.91

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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.