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Finding the Third Proportional to 1,767,739,416 and 2,676,176,932

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Solution

The third proportional to 1,767,739,416 and 2,676,176,932 is: 4,051,458,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,739,416 : 2,676,176,932 = 2,676,176,932 : x
  2. Step 2: Convert to fraction form
    1,767,739,416/2,676,176,932 = 2,676,176,932/x
  3. Step 3: Cross multiply
    1,767,739,416x = 2,676,176,932 × 2,676,176,932
  4. Step 4: Simplify right side
    1,767,739,416x = 7,161,922,971,368,932,352
  5. Step 5: Solve for x
    x = 7,161,922,971,368,932,352/1,767,739,416
  6. Step 6: Final answer
    x = 4,051,458,550.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.