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Finding the Third Proportional to 306,261,890 and 470,746,671

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Solution

The third proportional to 306,261,890 and 470,746,671 is: 723,571,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,890 : 470,746,671 = 470,746,671 : x
  2. Step 2: Convert to fraction form
    306,261,890/470,746,671 = 470,746,671/x
  3. Step 3: Cross multiply
    306,261,890x = 470,746,671 × 470,746,671
  4. Step 4: Simplify right side
    306,261,890x = 221,602,428,257,582,240
  5. Step 5: Solve for x
    x = 221,602,428,257,582,240/306,261,890
  6. Step 6: Final answer
    x = 723,571,673.44

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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.