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Finding the Third Proportional to 262,988,513,104 and 406,559,791,482

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Solution

The third proportional to 262,988,513,104 and 406,559,791,482 is: 628,509,823,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,988,513,104 : 406,559,791,482 = 406,559,791,482 : x
  2. Step 2: Convert to fraction form
    262,988,513,104/406,559,791,482 = 406,559,791,482/x
  3. Step 3: Cross multiply
    262,988,513,104x = 406,559,791,482 × 406,559,791,482
  4. Step 4: Simplify right side
    262,988,513,104x = 165,290,864,049,887,314,444,288
  5. Step 5: Solve for x
    x = 165,290,864,049,887,314,444,288/262,988,513,104
  6. Step 6: Final answer
    x = 628,509,823,866.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.