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Finding the Third Proportional to 61,289,370,576 and 86,271,329,836

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Solution

The third proportional to 61,289,370,576 and 86,271,329,836 is: 121,436,103,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,289,370,576 : 86,271,329,836 = 86,271,329,836 : x
  2. Step 2: Convert to fraction form
    61,289,370,576/86,271,329,836 = 86,271,329,836/x
  3. Step 3: Cross multiply
    61,289,370,576x = 86,271,329,836 × 86,271,329,836
  4. Step 4: Simplify right side
    61,289,370,576x = 7,442,742,351,671,903,387,648
  5. Step 5: Solve for x
    x = 7,442,742,351,671,903,387,648/61,289,370,576
  6. Step 6: Final answer
    x = 121,436,103,548.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.