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Finding the Third Proportional to 1,415,525,365 and 2,123,288,229

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Solution

The third proportional to 1,415,525,365 and 2,123,288,229 is: 3,184,932,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,525,365 : 2,123,288,229 = 2,123,288,229 : x
  2. Step 2: Convert to fraction form
    1,415,525,365/2,123,288,229 = 2,123,288,229/x
  3. Step 3: Cross multiply
    1,415,525,365x = 2,123,288,229 × 2,123,288,229
  4. Step 4: Simplify right side
    1,415,525,365x = 4,508,352,903,409,956,352
  5. Step 5: Solve for x
    x = 4,508,352,903,409,956,352/1,415,525,365
  6. Step 6: Final answer
    x = 3,184,932,615.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.