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Finding the Third Proportional to 2,431,918,567 and 4,931,508,125

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Solution

The third proportional to 2,431,918,567 and 4,931,508,125 is: 10,000,241,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,918,567 : 4,931,508,125 = 4,931,508,125 : x
  2. Step 2: Convert to fraction form
    2,431,918,567/4,931,508,125 = 4,931,508,125/x
  3. Step 3: Cross multiply
    2,431,918,567x = 4,931,508,125 × 4,931,508,125
  4. Step 4: Simplify right side
    2,431,918,567x = 24,319,772,386,941,014,016
  5. Step 5: Solve for x
    x = 24,319,772,386,941,014,016/2,431,918,567
  6. Step 6: Final answer
    x = 10,000,241,256.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.