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Finding the Third Proportional to 30,663,931 and 67,549,877

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Solution

The third proportional to 30,663,931 and 67,549,877 is: 148,806,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663,931 : 67,549,877 = 67,549,877 : x
  2. Step 2: Convert to fraction form
    30,663,931/67,549,877 = 67,549,877/x
  3. Step 3: Cross multiply
    30,663,931x = 67,549,877 × 67,549,877
  4. Step 4: Simplify right side
    30,663,931x = 4,562,985,882,715,129
  5. Step 5: Solve for x
    x = 4,562,985,882,715,129/30,663,931
  6. Step 6: Final answer
    x = 148,806,292.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.