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Finding the Third Proportional to 30,357,433 and 46,632,730

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Solution

The third proportional to 30,357,433 and 46,632,730 is: 71,633,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357,433 : 46,632,730 = 46,632,730 : x
  2. Step 2: Convert to fraction form
    30,357,433/46,632,730 = 46,632,730/x
  3. Step 3: Cross multiply
    30,357,433x = 46,632,730 × 46,632,730
  4. Step 4: Simplify right side
    30,357,433x = 2,174,611,507,252,900
  5. Step 5: Solve for x
    x = 2,174,611,507,252,900/30,357,433
  6. Step 6: Final answer
    x = 71,633,576.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.