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Finding the Third Proportional to 8,429,137,133 and 18,742,896,225

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Solution

The third proportional to 8,429,137,133 and 18,742,896,225 is: 41,676,408,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429,137,133 : 18,742,896,225 = 18,742,896,225 : x
  2. Step 2: Convert to fraction form
    8,429,137,133/18,742,896,225 = 18,742,896,225/x
  3. Step 3: Cross multiply
    8,429,137,133x = 18,742,896,225 × 18,742,896,225
  4. Step 4: Simplify right side
    8,429,137,133x = 351,296,158,901,119,221,760
  5. Step 5: Solve for x
    x = 351,296,158,901,119,221,760/8,429,137,133
  6. Step 6: Final answer
    x = 41,676,408,078.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.