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Finding the Third Proportional to 3,149,746,382.81 and 6,748,761,047.63

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Solution

The third proportional to 3,149,746,382.81 and 6,748,761,047.63 is: 14,460,140,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,746,382.81 : 6,748,761,047.63 = 6,748,761,047.63 : x
  2. Step 2: Convert to fraction form
    3,149,746,382.81/6,748,761,047.63 = 6,748,761,047.63/x
  3. Step 3: Cross multiply
    3,149,746,382.81x = 6,748,761,047.63 × 6,748,761,047.63
  4. Step 4: Simplify right side
    3,149,746,382.81x = 45,545,775,677,940,490,240
  5. Step 5: Solve for x
    x = 45,545,775,677,940,490,240/3,149,746,382.81
  6. Step 6: Final answer
    x = 14,460,140,640.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.