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Finding the Third Proportional to 69,957,513,402 and 151,062,441,348

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Solution

The third proportional to 69,957,513,402 and 151,062,441,348 is: 326,196,002,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,957,513,402 : 151,062,441,348 = 151,062,441,348 : x
  2. Step 2: Convert to fraction form
    69,957,513,402/151,062,441,348 = 151,062,441,348/x
  3. Step 3: Cross multiply
    69,957,513,402x = 151,062,441,348 × 151,062,441,348
  4. Step 4: Simplify right side
    69,957,513,402x = 22,819,861,186,017,939,685,376
  5. Step 5: Solve for x
    x = 22,819,861,186,017,939,685,376/69,957,513,402
  6. Step 6: Final answer
    x = 326,196,002,063.24

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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.