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Finding the Third Proportional to 5,886,908,768 and 9,048,600,844

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Solution

The third proportional to 5,886,908,768 and 9,048,600,844 is: 13,908,348,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886,908,768 : 9,048,600,844 = 9,048,600,844 : x
  2. Step 2: Convert to fraction form
    5,886,908,768/9,048,600,844 = 9,048,600,844/x
  3. Step 3: Cross multiply
    5,886,908,768x = 9,048,600,844 × 9,048,600,844
  4. Step 4: Simplify right side
    5,886,908,768x = 81,877,177,234,037,506,048
  5. Step 5: Solve for x
    x = 81,877,177,234,037,506,048/5,886,908,768
  6. Step 6: Final answer
    x = 13,908,348,245.37

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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.