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Finding the Third Proportional to 596,316,816 and 1,275,538,410

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Solution

The third proportional to 596,316,816 and 1,275,538,410 is: 2,728,412,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,316,816 : 1,275,538,410 = 1,275,538,410 : x
  2. Step 2: Convert to fraction form
    596,316,816/1,275,538,410 = 1,275,538,410/x
  3. Step 3: Cross multiply
    596,316,816x = 1,275,538,410 × 1,275,538,410
  4. Step 4: Simplify right side
    596,316,816x = 1,626,998,235,385,328,128
  5. Step 5: Solve for x
    x = 1,626,998,235,385,328,128/596,316,816
  6. Step 6: Final answer
    x = 2,728,412,467.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.