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Finding the Third Proportional to 832,618,567,068 and 1,123,397,941,270

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Solution

The third proportional to 832,618,567,068 and 1,123,397,941,270 is: 1,515,727,590,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,618,567,068 : 1,123,397,941,270 = 1,123,397,941,270 : x
  2. Step 2: Convert to fraction form
    832,618,567,068/1,123,397,941,270 = 1,123,397,941,270/x
  3. Step 3: Cross multiply
    832,618,567,068x = 1,123,397,941,270 × 1,123,397,941,270
  4. Step 4: Simplify right side
    832,618,567,068x = 1,262,022,934,449,674,359,144,448
  5. Step 5: Solve for x
    x = 1,262,022,934,449,674,359,144,448/832,618,567,068
  6. Step 6: Final answer
    x = 1,515,727,590,478.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.