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Finding the Third Proportional to 1,505,606,080 and 3,261,343,724

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Solution

The third proportional to 1,505,606,080 and 3,261,343,724 is: 7,064,505,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,606,080 : 3,261,343,724 = 3,261,343,724 : x
  2. Step 2: Convert to fraction form
    1,505,606,080/3,261,343,724 = 3,261,343,724/x
  3. Step 3: Cross multiply
    1,505,606,080x = 3,261,343,724 × 3,261,343,724
  4. Step 4: Simplify right side
    1,505,606,080x = 10,636,362,886,074,187,776
  5. Step 5: Solve for x
    x = 10,636,362,886,074,187,776/1,505,606,080
  6. Step 6: Final answer
    x = 7,064,505,800.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.