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Finding the Third Proportional to 2,023,347,958 and 3,035,021,730

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Solution

The third proportional to 2,023,347,958 and 3,035,021,730 is: 4,552,532,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,347,958 : 3,035,021,730 = 3,035,021,730 : x
  2. Step 2: Convert to fraction form
    2,023,347,958/3,035,021,730 = 3,035,021,730/x
  3. Step 3: Cross multiply
    2,023,347,958x = 3,035,021,730 × 3,035,021,730
  4. Step 4: Simplify right side
    2,023,347,958x = 9,211,356,901,572,193,280
  5. Step 5: Solve for x
    x = 9,211,356,901,572,193,280/2,023,347,958
  6. Step 6: Final answer
    x = 4,552,532,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.