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Finding the Third Proportional to 2,918,746,116 and 4,523,252,876

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Solution

The third proportional to 2,918,746,116 and 4,523,252,876 is: 7,009,796,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918,746,116 : 4,523,252,876 = 4,523,252,876 : x
  2. Step 2: Convert to fraction form
    2,918,746,116/4,523,252,876 = 4,523,252,876/x
  3. Step 3: Cross multiply
    2,918,746,116x = 4,523,252,876 × 4,523,252,876
  4. Step 4: Simplify right side
    2,918,746,116x = 20,459,816,580,242,272,256
  5. Step 5: Solve for x
    x = 20,459,816,580,242,272,256/2,918,746,116
  6. Step 6: Final answer
    x = 7,009,796,593.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.