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Finding the Third Proportional to 2,004,357,408 and 3,066,442,416

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Solution

The third proportional to 2,004,357,408 and 3,066,442,416 is: 4,691,313,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,357,408 : 3,066,442,416 = 3,066,442,416 : x
  2. Step 2: Convert to fraction form
    2,004,357,408/3,066,442,416 = 3,066,442,416/x
  3. Step 3: Cross multiply
    2,004,357,408x = 3,066,442,416 × 3,066,442,416
  4. Step 4: Simplify right side
    2,004,357,408x = 9,403,069,090,643,916,800
  5. Step 5: Solve for x
    x = 9,403,069,090,643,916,800/2,004,357,408
  6. Step 6: Final answer
    x = 4,691,313,561.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.