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Finding the Third Proportional to 4,562,416,360,280 and 9,787,142,003,072

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Solution

The third proportional to 4,562,416,360,280 and 9,787,142,003,072 is: 20,995,047,585,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,416,360,280 : 9,787,142,003,072 = 9,787,142,003,072 : x
  2. Step 2: Convert to fraction form
    4,562,416,360,280/9,787,142,003,072 = 9,787,142,003,072/x
  3. Step 3: Cross multiply
    4,562,416,360,280x = 9,787,142,003,072 × 9,787,142,003,072
  4. Step 4: Simplify right side
    4,562,416,360,280x = 95,788,148,588,296,201,324,986,368
  5. Step 5: Solve for x
    x = 95,788,148,588,296,201,324,986,368/4,562,416,360,280
  6. Step 6: Final answer
    x = 20,995,047,585,358.38

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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.