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Finding the Third Proportional to 14,963,220 and 32,164,164

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Solution

The third proportional to 14,963,220 and 32,164,164 is: 69,138,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963,220 : 32,164,164 = 32,164,164 : x
  2. Step 2: Convert to fraction form
    14,963,220/32,164,164 = 32,164,164/x
  3. Step 3: Cross multiply
    14,963,220x = 32,164,164 × 32,164,164
  4. Step 4: Simplify right side
    14,963,220x = 1,034,533,445,818,896
  5. Step 5: Solve for x
    x = 1,034,533,445,818,896/14,963,220
  6. Step 6: Final answer
    x = 69,138,423.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.