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Finding the Third Proportional to 71,092,347,948 and 152,883,849,816

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Solution

The third proportional to 71,092,347,948 and 152,883,849,816 is: 328,776,193,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,092,347,948 : 152,883,849,816 = 152,883,849,816 : x
  2. Step 2: Convert to fraction form
    71,092,347,948/152,883,849,816 = 152,883,849,816/x
  3. Step 3: Cross multiply
    71,092,347,948x = 152,883,849,816 × 152,883,849,816
  4. Step 4: Simplify right side
    71,092,347,948x = 23,373,471,534,561,242,382,336
  5. Step 5: Solve for x
    x = 23,373,471,534,561,242,382,336/71,092,347,948
  6. Step 6: Final answer
    x = 328,776,193,348.65

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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.