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Finding the Third Proportional to 832,665,955 and 1,851,453,262

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Solution

The third proportional to 832,665,955 and 1,851,453,262 is: 4,116,751,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,665,955 : 1,851,453,262 = 1,851,453,262 : x
  2. Step 2: Convert to fraction form
    832,665,955/1,851,453,262 = 1,851,453,262/x
  3. Step 3: Cross multiply
    832,665,955x = 1,851,453,262 × 1,851,453,262
  4. Step 4: Simplify right side
    832,665,955x = 3,427,879,181,370,440,704
  5. Step 5: Solve for x
    x = 3,427,879,181,370,440,704/832,665,955
  6. Step 6: Final answer
    x = 4,116,751,934.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.