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Finding the Third Proportional to 4,444,924,704 and 6,534,382,320

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Solution

The third proportional to 4,444,924,704 and 6,534,382,320 is: 9,606,046,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444,924,704 : 6,534,382,320 = 6,534,382,320 : x
  2. Step 2: Convert to fraction form
    4,444,924,704/6,534,382,320 = 6,534,382,320/x
  3. Step 3: Cross multiply
    4,444,924,704x = 6,534,382,320 × 6,534,382,320
  4. Step 4: Simplify right side
    4,444,924,704x = 42,698,152,303,928,582,144
  5. Step 5: Solve for x
    x = 42,698,152,303,928,582,144/4,444,924,704
  6. Step 6: Final answer
    x = 9,606,046,254.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.