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Finding the Third Proportional to 236,291,757,072 and 508,421,522,376

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Solution

The third proportional to 236,291,757,072 and 508,421,522,376 is: 1,093,954,556,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,291,757,072 : 508,421,522,376 = 508,421,522,376 : x
  2. Step 2: Convert to fraction form
    236,291,757,072/508,421,522,376 = 508,421,522,376/x
  3. Step 3: Cross multiply
    236,291,757,072x = 508,421,522,376 × 508,421,522,376
  4. Step 4: Simplify right side
    236,291,757,072x = 258,492,444,415,129,464,864,768
  5. Step 5: Solve for x
    x = 258,492,444,415,129,464,864,768/236,291,757,072
  6. Step 6: Final answer
    x = 1,093,954,556,935.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.