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Finding the Third Proportional to 306,264,024 and 470,749,764

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Solution

The third proportional to 306,264,024 and 470,749,764 is: 723,576,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,264,024 : 470,749,764 = 470,749,764 : x
  2. Step 2: Convert to fraction form
    306,264,024/470,749,764 = 470,749,764/x
  3. Step 3: Cross multiply
    306,264,024x = 470,749,764 × 470,749,764
  4. Step 4: Simplify right side
    306,264,024x = 221,605,340,306,055,680
  5. Step 5: Solve for x
    x = 221,605,340,306,055,680/306,264,024
  6. Step 6: Final answer
    x = 723,576,140.00

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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.