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Finding the Third Proportional to 668,507,421 and 1,466,155,005

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Solution

The third proportional to 668,507,421 and 1,466,155,005 is: 3,215,537,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,507,421 : 1,466,155,005 = 1,466,155,005 : x
  2. Step 2: Convert to fraction form
    668,507,421/1,466,155,005 = 1,466,155,005/x
  3. Step 3: Cross multiply
    668,507,421x = 1,466,155,005 × 1,466,155,005
  4. Step 4: Simplify right side
    668,507,421x = 2,149,610,498,686,550,016
  5. Step 5: Solve for x
    x = 2,149,610,498,686,550,016/668,507,421
  6. Step 6: Final answer
    x = 3,215,537,226.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.