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Finding the Third Proportional to 1,004,752,097 and 1,357,082,433

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Solution

The third proportional to 1,004,752,097 and 1,357,082,433 is: 1,832,962,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,752,097 : 1,357,082,433 = 1,357,082,433 : x
  2. Step 2: Convert to fraction form
    1,004,752,097/1,357,082,433 = 1,357,082,433/x
  3. Step 3: Cross multiply
    1,004,752,097x = 1,357,082,433 × 1,357,082,433
  4. Step 4: Simplify right side
    1,004,752,097x = 1,841,672,729,957,199,616
  5. Step 5: Solve for x
    x = 1,841,672,729,957,199,616/1,004,752,097
  6. Step 6: Final answer
    x = 1,832,962,315.24

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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.