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Finding the Third Proportional to 8,742,938,006 and 13,430,222,187

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Solution

The third proportional to 8,742,938,006 and 13,430,222,187 is: 20,630,464,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742,938,006 : 13,430,222,187 = 13,430,222,187 : x
  2. Step 2: Convert to fraction form
    8,742,938,006/13,430,222,187 = 13,430,222,187/x
  3. Step 3: Cross multiply
    8,742,938,006x = 13,430,222,187 × 13,430,222,187
  4. Step 4: Simplify right side
    8,742,938,006x = 180,370,867,992,187,076,608
  5. Step 5: Solve for x
    x = 180,370,867,992,187,076,608/8,742,938,006
  6. Step 6: Final answer
    x = 20,630,464,023.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.