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Finding the Third Proportional to 306,262,020 and 470,746,869

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Solution

The third proportional to 306,262,020 and 470,746,869 is: 723,571,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,262,020 : 470,746,869 = 470,746,869 : x
  2. Step 2: Convert to fraction form
    306,262,020/470,746,869 = 470,746,869/x
  3. Step 3: Cross multiply
    306,262,020x = 470,746,869 × 470,746,869
  4. Step 4: Simplify right side
    306,262,020x = 221,602,614,673,303,168
  5. Step 5: Solve for x
    x = 221,602,614,673,303,168/306,262,020
  6. Step 6: Final answer
    x = 723,571,974.98

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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.