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Finding the Third Proportional to 30,182,052 and 65,468,148

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Solution

The third proportional to 30,182,052 and 65,468,148 is: 142,007,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182,052 : 65,468,148 = 65,468,148 : x
  2. Step 2: Convert to fraction form
    30,182,052/65,468,148 = 65,468,148/x
  3. Step 3: Cross multiply
    30,182,052x = 65,468,148 × 65,468,148
  4. Step 4: Simplify right side
    30,182,052x = 4,286,078,402,549,904
  5. Step 5: Solve for x
    x = 4,286,078,402,549,904/30,182,052
  6. Step 6: Final answer
    x = 142,007,521.64

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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.