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Finding the Third Proportional to 152,071,962,952 and 316,658,809,782

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Solution

The third proportional to 152,071,962,952 and 316,658,809,782 is: 659,377,309,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,071,962,952 : 316,658,809,782 = 316,658,809,782 : x
  2. Step 2: Convert to fraction form
    152,071,962,952/316,658,809,782 = 316,658,809,782/x
  3. Step 3: Cross multiply
    152,071,962,952x = 316,658,809,782 × 316,658,809,782
  4. Step 4: Simplify right side
    152,071,962,952x = 100,272,801,812,552,852,963,328
  5. Step 5: Solve for x
    x = 100,272,801,812,552,852,963,328/152,071,962,952
  6. Step 6: Final answer
    x = 659,377,309,703.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.