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Finding the Third Proportional to 6,643,545,780 and 9,343,702,638

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Solution

The third proportional to 6,643,545,780 and 9,343,702,638 is: 13,141,292,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643,545,780 : 9,343,702,638 = 9,343,702,638 : x
  2. Step 2: Convert to fraction form
    6,643,545,780/9,343,702,638 = 9,343,702,638/x
  3. Step 3: Cross multiply
    6,643,545,780x = 9,343,702,638 × 9,343,702,638
  4. Step 4: Simplify right side
    6,643,545,780x = 87,304,778,987,368,153,088
  5. Step 5: Solve for x
    x = 87,304,778,987,368,153,088/6,643,545,780
  6. Step 6: Final answer
    x = 13,141,292,598.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.