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Finding the Third Proportional to 306,261,916 and 470,746,710

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Solution

The third proportional to 306,261,916 and 470,746,710 is: 723,571,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,916 : 470,746,710 = 470,746,710 : x
  2. Step 2: Convert to fraction form
    306,261,916/470,746,710 = 470,746,710/x
  3. Step 3: Cross multiply
    306,261,916x = 470,746,710 × 470,746,710
  4. Step 4: Simplify right side
    306,261,916x = 221,602,464,975,824,096
  5. Step 5: Solve for x
    x = 221,602,464,975,824,096/306,261,916
  6. Step 6: Final answer
    x = 723,571,731.90

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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.