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Finding the Third Proportional to 1,004,752,094 and 1,357,082,429

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Solution

The third proportional to 1,004,752,094 and 1,357,082,429 is: 1,832,962,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,752,094 : 1,357,082,429 = 1,357,082,429 : x
  2. Step 2: Convert to fraction form
    1,004,752,094/1,357,082,429 = 1,357,082,429/x
  3. Step 3: Cross multiply
    1,004,752,094x = 1,357,082,429 × 1,357,082,429
  4. Step 4: Simplify right side
    1,004,752,094x = 1,841,672,719,100,540,160
  5. Step 5: Solve for x
    x = 1,841,672,719,100,540,160/1,004,752,094
  6. Step 6: Final answer
    x = 1,832,962,309.91

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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.