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Finding the Third Proportional to 7,862,994 and 16,818,948

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Solution

The third proportional to 7,862,994 and 16,818,948 is: 35,975,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,994 : 16,818,948 = 16,818,948 : x
  2. Step 2: Convert to fraction form
    7,862,994/16,818,948 = 16,818,948/x
  3. Step 3: Cross multiply
    7,862,994x = 16,818,948 × 16,818,948
  4. Step 4: Simplify right side
    7,862,994x = 282,877,011,826,704
  5. Step 5: Solve for x
    x = 282,877,011,826,704/7,862,994
  6. Step 6: Final answer
    x = 35,975,737.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.