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Finding the Third Proportional to 2,811,348,954 and 4,113,535,347

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Solution

The third proportional to 2,811,348,954 and 4,113,535,347 is: 6,018,880,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,348,954 : 4,113,535,347 = 4,113,535,347 : x
  2. Step 2: Convert to fraction form
    2,811,348,954/4,113,535,347 = 4,113,535,347/x
  3. Step 3: Cross multiply
    2,811,348,954x = 4,113,535,347 × 4,113,535,347
  4. Step 4: Simplify right side
    2,811,348,954x = 16,921,173,051,018,409,984
  5. Step 5: Solve for x
    x = 16,921,173,051,018,409,984/2,811,348,954
  6. Step 6: Final answer
    x = 6,018,880,376.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.