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Finding the Third Proportional to 17,660,605,875.75 and 27,145,628,326.13

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Solution

The third proportional to 17,660,605,875.75 and 27,145,628,326.13 is: 41,724,793,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660,605,875.75 : 27,145,628,326.13 = 27,145,628,326.13 : x
  2. Step 2: Convert to fraction form
    17,660,605,875.75/27,145,628,326.13 = 27,145,628,326.13/x
  3. Step 3: Cross multiply
    17,660,605,875.75x = 27,145,628,326.13 × 27,145,628,326.13
  4. Step 4: Simplify right side
    17,660,605,875.75x = 736,885,137,220,119,953,408
  5. Step 5: Solve for x
    x = 736,885,137,220,119,953,408/17,660,605,875.75
  6. Step 6: Final answer
    x = 41,724,793,724.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.