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Finding the Third Proportional to 966,646,240 and 1,431,849,168

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Solution

The third proportional to 966,646,240 and 1,431,849,168 is: 2,120,933,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,646,240 : 1,431,849,168 = 1,431,849,168 : x
  2. Step 2: Convert to fraction form
    966,646,240/1,431,849,168 = 1,431,849,168/x
  3. Step 3: Cross multiply
    966,646,240x = 1,431,849,168 × 1,431,849,168
  4. Step 4: Simplify right side
    966,646,240x = 2,050,192,039,902,292,224
  5. Step 5: Solve for x
    x = 2,050,192,039,902,292,224/966,646,240
  6. Step 6: Final answer
    x = 2,120,933,134.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.