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Finding the Third Proportional to 30,182,041 and 65,468,124.50

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Solution

The third proportional to 30,182,041 and 65,468,124.50 is: 142,007,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182,041 : 65,468,124.50 = 65,468,124.50 : x
  2. Step 2: Convert to fraction form
    30,182,041/65,468,124.50 = 65,468,124.50/x
  3. Step 3: Cross multiply
    30,182,041x = 65,468,124.50 × 65,468,124.50
  4. Step 4: Simplify right side
    30,182,041x = 4,286,075,325,547,500
  5. Step 5: Solve for x
    x = 4,286,075,325,547,500/30,182,041
  6. Step 6: Final answer
    x = 142,007,471.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.