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Finding the Third Proportional to 1,004,752,095 and 1,357,082,430

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Solution

The third proportional to 1,004,752,095 and 1,357,082,430 is: 1,832,962,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,752,095 : 1,357,082,430 = 1,357,082,430 : x
  2. Step 2: Convert to fraction form
    1,004,752,095/1,357,082,430 = 1,357,082,430/x
  3. Step 3: Cross multiply
    1,004,752,095x = 1,357,082,430 × 1,357,082,430
  4. Step 4: Simplify right side
    1,004,752,095x = 1,841,672,721,814,704,896
  5. Step 5: Solve for x
    x = 1,841,672,721,814,704,896/1,004,752,095
  6. Step 6: Final answer
    x = 1,832,962,310.78

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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.