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Finding the Third Proportional to 1,762,606,372 and 2,666,579,026

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Solution

The third proportional to 1,762,606,372 and 2,666,579,026 is: 4,034,164,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,606,372 : 2,666,579,026 = 2,666,579,026 : x
  2. Step 2: Convert to fraction form
    1,762,606,372/2,666,579,026 = 2,666,579,026/x
  3. Step 3: Cross multiply
    1,762,606,372x = 2,666,579,026 × 2,666,579,026
  4. Step 4: Simplify right side
    1,762,606,372x = 7,110,643,701,903,109,120
  5. Step 5: Solve for x
    x = 7,110,643,701,903,109,120/1,762,606,372
  6. Step 6: Final answer
    x = 4,034,164,300.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.