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Finding the Third Proportional to 3,507,537,616.88 and 7,263,700,817.63

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Solution

The third proportional to 3,507,537,616.88 and 7,263,700,817.63 is: 15,042,276,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507,537,616.88 : 7,263,700,817.63 = 7,263,700,817.63 : x
  2. Step 2: Convert to fraction form
    3,507,537,616.88/7,263,700,817.63 = 7,263,700,817.63/x
  3. Step 3: Cross multiply
    3,507,537,616.88x = 7,263,700,817.63 × 7,263,700,817.63
  4. Step 4: Simplify right side
    3,507,537,616.88x = 52,761,349,567,966,093,312
  5. Step 5: Solve for x
    x = 52,761,349,567,966,093,312/3,507,537,616.88
  6. Step 6: Final answer
    x = 15,042,276,186.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.