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Finding the Third Proportional to 884,022,255 and 1,473,281,632.13

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Solution

The third proportional to 884,022,255 and 1,473,281,632.13 is: 2,455,321,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,022,255 : 1,473,281,632.13 = 1,473,281,632.13 : x
  2. Step 2: Convert to fraction form
    884,022,255/1,473,281,632.13 = 1,473,281,632.13/x
  3. Step 3: Cross multiply
    884,022,255x = 1,473,281,632.13 × 1,473,281,632.13
  4. Step 4: Simplify right side
    884,022,255x = 2,170,558,767,556,903,936
  5. Step 5: Solve for x
    x = 2,170,558,767,556,903,936/884,022,255
  6. Step 6: Final answer
    x = 2,455,321,407.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.