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Finding the Third Proportional to 306,261,906 and 470,746,695

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Solution

The third proportional to 306,261,906 and 470,746,695 is: 723,571,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,906 : 470,746,695 = 470,746,695 : x
  2. Step 2: Convert to fraction form
    306,261,906/470,746,695 = 470,746,695/x
  3. Step 3: Cross multiply
    306,261,906x = 470,746,695 × 470,746,695
  4. Step 4: Simplify right side
    306,261,906x = 221,602,450,853,423,040
  5. Step 5: Solve for x
    x = 221,602,450,853,423,040/306,261,906
  6. Step 6: Final answer
    x = 723,571,709.42

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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.