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Finding the Third Proportional to 1,608,518,816 and 3,471,097,050

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Solution

The third proportional to 1,608,518,816 and 3,471,097,050 is: 7,490,440,653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608,518,816 : 3,471,097,050 = 3,471,097,050 : x
  2. Step 2: Convert to fraction form
    1,608,518,816/3,471,097,050 = 3,471,097,050/x
  3. Step 3: Cross multiply
    1,608,518,816x = 3,471,097,050 × 3,471,097,050
  4. Step 4: Simplify right side
    1,608,518,816x = 12,048,514,730,518,702,080
  5. Step 5: Solve for x
    x = 12,048,514,730,518,702,080/1,608,518,816
  6. Step 6: Final answer
    x = 7,490,440,653.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.