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Finding the Third Proportional to 4,217,432,301 and 8,783,938,476

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Solution

The third proportional to 4,217,432,301 and 8,783,938,476 is: 18,294,917,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,432,301 : 8,783,938,476 = 8,783,938,476 : x
  2. Step 2: Convert to fraction form
    4,217,432,301/8,783,938,476 = 8,783,938,476/x
  3. Step 3: Cross multiply
    4,217,432,301x = 8,783,938,476 × 8,783,938,476
  4. Step 4: Simplify right side
    4,217,432,301x = 77,157,575,150,153,203,712
  5. Step 5: Solve for x
    x = 77,157,575,150,153,203,712/4,217,432,301
  6. Step 6: Final answer
    x = 18,294,917,296.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.