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Finding the Third Proportional to 952,136,980.88 and 1,470,654,047.81

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Solution

The third proportional to 952,136,980.88 and 1,470,654,047.81 is: 2,271,546,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,136,980.88 : 1,470,654,047.81 = 1,470,654,047.81 : x
  2. Step 2: Convert to fraction form
    952,136,980.88/1,470,654,047.81 = 1,470,654,047.81/x
  3. Step 3: Cross multiply
    952,136,980.88x = 1,470,654,047.81 × 1,470,654,047.81
  4. Step 4: Simplify right side
    952,136,980.88x = 2,162,823,328,347,291,136
  5. Step 5: Solve for x
    x = 2,162,823,328,347,291,136/952,136,980.88
  6. Step 6: Final answer
    x = 2,271,546,396.99

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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.