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Finding the Third Proportional to 1,958,184,063 and 4,226,473,382

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Solution

The third proportional to 1,958,184,063 and 4,226,473,382 is: 9,122,266,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958,184,063 : 4,226,473,382 = 4,226,473,382 : x
  2. Step 2: Convert to fraction form
    1,958,184,063/4,226,473,382 = 4,226,473,382/x
  3. Step 3: Cross multiply
    1,958,184,063x = 4,226,473,382 × 4,226,473,382
  4. Step 4: Simplify right side
    1,958,184,063x = 17,863,077,248,754,518,016
  5. Step 5: Solve for x
    x = 17,863,077,248,754,518,016/1,958,184,063
  6. Step 6: Final answer
    x = 9,122,266,688.96

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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.