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Finding the Third Proportional to 2,431,918,692 and 4,931,508,360

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Solution

The third proportional to 2,431,918,692 and 4,931,508,360 is: 10,000,241,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,918,692 : 4,931,508,360 = 4,931,508,360 : x
  2. Step 2: Convert to fraction form
    2,431,918,692/4,931,508,360 = 4,931,508,360/x
  3. Step 3: Cross multiply
    2,431,918,692x = 4,931,508,360 × 4,931,508,360
  4. Step 4: Simplify right side
    2,431,918,692x = 24,319,774,704,749,891,584
  5. Step 5: Solve for x
    x = 24,319,774,704,749,891,584/2,431,918,692
  6. Step 6: Final answer
    x = 10,000,241,695.89

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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.