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Finding the Third Proportional to 889,343,009 and 1,931,783,216

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Solution

The third proportional to 889,343,009 and 1,931,783,216 is: 4,196,115,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,343,009 : 1,931,783,216 = 1,931,783,216 : x
  2. Step 2: Convert to fraction form
    889,343,009/1,931,783,216 = 1,931,783,216/x
  3. Step 3: Cross multiply
    889,343,009x = 1,931,783,216 × 1,931,783,216
  4. Step 4: Simplify right side
    889,343,009x = 3,731,786,393,619,302,400
  5. Step 5: Solve for x
    x = 3,731,786,393,619,302,400/889,343,009
  6. Step 6: Final answer
    x = 4,196,115,959.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.