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Finding the Third Proportional to 9,590,933,889,690 and 20,710,496,305,776

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Solution

The third proportional to 9,590,933,889,690 and 20,710,496,305,776 is: 44,721,886,540,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590,933,889,690 : 20,710,496,305,776 = 20,710,496,305,776 : x
  2. Step 2: Convert to fraction form
    9,590,933,889,690/20,710,496,305,776 = 20,710,496,305,776/x
  3. Step 3: Cross multiply
    9,590,933,889,690x = 20,710,496,305,776 × 20,710,496,305,776
  4. Step 4: Simplify right side
    9,590,933,889,690x = 428,924,657,231,561,369,468,272,640
  5. Step 5: Solve for x
    x = 428,924,657,231,561,369,468,272,640/9,590,933,889,690
  6. Step 6: Final answer
    x = 44,721,886,540,438.37

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1.5x scale

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.