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Finding the Third Proportional to 1,677,496,663 and 2,501,697,936

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Solution

The third proportional to 1,677,496,663 and 2,501,697,936 is: 3,730,852,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,496,663 : 2,501,697,936 = 2,501,697,936 : x
  2. Step 2: Convert to fraction form
    1,677,496,663/2,501,697,936 = 2,501,697,936/x
  3. Step 3: Cross multiply
    1,677,496,663x = 2,501,697,936 × 2,501,697,936
  4. Step 4: Simplify right side
    1,677,496,663x = 6,258,492,562,986,659,840
  5. Step 5: Solve for x
    x = 6,258,492,562,986,659,840/1,677,496,663
  6. Step 6: Final answer
    x = 3,730,852,466.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.