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Finding the Third Proportional to 571,221,698 and 1,243,852,081

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Solution

The third proportional to 571,221,698 and 1,243,852,081 is: 2,708,524,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,221,698 : 1,243,852,081 = 1,243,852,081 : x
  2. Step 2: Convert to fraction form
    571,221,698/1,243,852,081 = 1,243,852,081/x
  3. Step 3: Cross multiply
    571,221,698x = 1,243,852,081 × 1,243,852,081
  4. Step 4: Simplify right side
    571,221,698x = 1,547,167,999,408,030,464
  5. Step 5: Solve for x
    x = 1,547,167,999,408,030,464/571,221,698
  6. Step 6: Final answer
    x = 2,708,524,562.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.