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Finding the Third Proportional to 1,004,752,072 and 1,357,082,400

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Solution

The third proportional to 1,004,752,072 and 1,357,082,400 is: 1,832,962,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,752,072 : 1,357,082,400 = 1,357,082,400 : x
  2. Step 2: Convert to fraction form
    1,004,752,072/1,357,082,400 = 1,357,082,400/x
  3. Step 3: Cross multiply
    1,004,752,072x = 1,357,082,400 × 1,357,082,400
  4. Step 4: Simplify right side
    1,004,752,072x = 1,841,672,640,389,760,000
  5. Step 5: Solve for x
    x = 1,841,672,640,389,760,000/1,004,752,072
  6. Step 6: Final answer
    x = 1,832,962,271.70

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Why These Related Problems?

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