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Finding the Third Proportional to 117,484,973 and 254,495,806

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Solution

The third proportional to 117,484,973 and 254,495,806 is: 551,288,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,484,973 : 254,495,806 = 254,495,806 : x
  2. Step 2: Convert to fraction form
    117,484,973/254,495,806 = 254,495,806/x
  3. Step 3: Cross multiply
    117,484,973x = 254,495,806 × 254,495,806
  4. Step 4: Simplify right side
    117,484,973x = 64,768,115,271,589,632
  5. Step 5: Solve for x
    x = 64,768,115,271,589,632/117,484,973
  6. Step 6: Final answer
    x = 551,288,506.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.