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Finding the Third Proportional to 1,762,606,364 and 2,666,579,013

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Solution

The third proportional to 1,762,606,364 and 2,666,579,013 is: 4,034,164,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,606,364 : 2,666,579,013 = 2,666,579,013 : x
  2. Step 2: Convert to fraction form
    1,762,606,364/2,666,579,013 = 2,666,579,013/x
  3. Step 3: Cross multiply
    1,762,606,364x = 2,666,579,013 × 2,666,579,013
  4. Step 4: Simplify right side
    1,762,606,364x = 7,110,643,632,572,054,528
  5. Step 5: Solve for x
    x = 7,110,643,632,572,054,528/1,762,606,364
  6. Step 6: Final answer
    x = 4,034,164,279.56

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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.