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Finding the Third Proportional to 30,481,023 and 46,436,127

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Solution

The third proportional to 30,481,023 and 46,436,127 is: 70,742,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481,023 : 46,436,127 = 46,436,127 : x
  2. Step 2: Convert to fraction form
    30,481,023/46,436,127 = 46,436,127/x
  3. Step 3: Cross multiply
    30,481,023x = 46,436,127 × 46,436,127
  4. Step 4: Simplify right side
    30,481,023x = 2,156,313,890,760,129
  5. Step 5: Solve for x
    x = 2,156,313,890,760,129/30,481,023
  6. Step 6: Final answer
    x = 70,742,832.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.