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Finding the Third Proportional to 882,706,256 and 1,905,832,000

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Solution

The third proportional to 882,706,256 and 1,905,832,000 is: 4,114,840,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,706,256 : 1,905,832,000 = 1,905,832,000 : x
  2. Step 2: Convert to fraction form
    882,706,256/1,905,832,000 = 1,905,832,000/x
  3. Step 3: Cross multiply
    882,706,256x = 1,905,832,000 × 1,905,832,000
  4. Step 4: Simplify right side
    882,706,256x = 3,632,195,612,224,000,000
  5. Step 5: Solve for x
    x = 3,632,195,612,224,000,000/882,706,256
  6. Step 6: Final answer
    x = 4,114,840,681.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.