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Finding the Third Proportional to 1,229,726,572.66 and 2,655,401,775.79

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Solution

The third proportional to 1,229,726,572.66 and 2,655,401,775.79 is: 5,733,923,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,726,572.66 : 2,655,401,775.79 = 2,655,401,775.79 : x
  2. Step 2: Convert to fraction form
    1,229,726,572.66/2,655,401,775.79 = 2,655,401,775.79/x
  3. Step 3: Cross multiply
    1,229,726,572.66x = 2,655,401,775.79 × 2,655,401,775.79
  4. Step 4: Simplify right side
    1,229,726,572.66x = 7,051,158,590,843,194,368
  5. Step 5: Solve for x
    x = 7,051,158,590,843,194,368/1,229,726,572.66
  6. Step 6: Final answer
    x = 5,733,923,904.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.