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Finding the Third Proportional to 5,886,908,771 and 9,048,600,851

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Solution

The third proportional to 5,886,908,771 and 9,048,600,851 is: 13,908,348,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886,908,771 : 9,048,600,851 = 9,048,600,851 : x
  2. Step 2: Convert to fraction form
    5,886,908,771/9,048,600,851 = 9,048,600,851/x
  3. Step 3: Cross multiply
    5,886,908,771x = 9,048,600,851 × 9,048,600,851
  4. Step 4: Simplify right side
    5,886,908,771x = 81,877,177,360,717,922,304
  5. Step 5: Solve for x
    x = 81,877,177,360,717,922,304/5,886,908,771
  6. Step 6: Final answer
    x = 13,908,348,259.80

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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.