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Finding the Third Proportional to 12,594,483,688 and 29,157,001,732

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Solution

The third proportional to 12,594,483,688 and 29,157,001,732 is: 67,500,246,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594,483,688 : 29,157,001,732 = 29,157,001,732 : x
  2. Step 2: Convert to fraction form
    12,594,483,688/29,157,001,732 = 29,157,001,732/x
  3. Step 3: Cross multiply
    12,594,483,688x = 29,157,001,732 × 29,157,001,732
  4. Step 4: Simplify right side
    12,594,483,688x = 850,130,749,999,850,979,328
  5. Step 5: Solve for x
    x = 850,130,749,999,850,979,328/12,594,483,688
  6. Step 6: Final answer
    x = 67,500,246,223.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.