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Finding the Third Proportional to 306,261,910 and 470,746,701

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Solution

The third proportional to 306,261,910 and 470,746,701 is: 723,571,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,910 : 470,746,701 = 470,746,701 : x
  2. Step 2: Convert to fraction form
    306,261,910/470,746,701 = 470,746,701/x
  3. Step 3: Cross multiply
    306,261,910x = 470,746,701 × 470,746,701
  4. Step 4: Simplify right side
    306,261,910x = 221,602,456,502,383,392
  5. Step 5: Solve for x
    x = 221,602,456,502,383,392/306,261,910
  6. Step 6: Final answer
    x = 723,571,718.41

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