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Finding the Third Proportional to 2,962,035,386 and 6,169,236,754

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Solution

The third proportional to 2,962,035,386 and 6,169,236,754 is: 12,849,097,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962,035,386 : 6,169,236,754 = 6,169,236,754 : x
  2. Step 2: Convert to fraction form
    2,962,035,386/6,169,236,754 = 6,169,236,754/x
  3. Step 3: Cross multiply
    2,962,035,386x = 6,169,236,754 × 6,169,236,754
  4. Step 4: Simplify right side
    2,962,035,386x = 38,059,482,126,904,459,264
  5. Step 5: Solve for x
    x = 38,059,482,126,904,459,264/2,962,035,386
  6. Step 6: Final answer
    x = 12,849,097,720.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.