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Finding the Third Proportional to 3,012,210,072 and 6,508,430,037

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Solution

The third proportional to 3,012,210,072 and 6,508,430,037 is: 14,062,651,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,210,072 : 6,508,430,037 = 6,508,430,037 : x
  2. Step 2: Convert to fraction form
    3,012,210,072/6,508,430,037 = 6,508,430,037/x
  3. Step 3: Cross multiply
    3,012,210,072x = 6,508,430,037 × 6,508,430,037
  4. Step 4: Simplify right side
    3,012,210,072x = 42,359,661,546,523,820,032
  5. Step 5: Solve for x
    x = 42,359,661,546,523,820,032/3,012,210,072
  6. Step 6: Final answer
    x = 14,062,651,851.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.