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Finding the Third Proportional to 2,431,918,572 and 4,931,508,135

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Solution

The third proportional to 2,431,918,572 and 4,931,508,135 is: 10,000,241,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,918,572 : 4,931,508,135 = 4,931,508,135 : x
  2. Step 2: Convert to fraction form
    2,431,918,572/4,931,508,135 = 4,931,508,135/x
  3. Step 3: Cross multiply
    2,431,918,572x = 4,931,508,135 × 4,931,508,135
  4. Step 4: Simplify right side
    2,431,918,572x = 24,319,772,485,571,178,496
  5. Step 5: Solve for x
    x = 24,319,772,485,571,178,496/2,431,918,572
  6. Step 6: Final answer
    x = 10,000,241,276.82

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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.