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Finding the Third Proportional to 1,617,303,482 and 2,365,302,315

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Solution

The third proportional to 1,617,303,482 and 2,365,302,315 is: 3,459,248,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,303,482 : 2,365,302,315 = 2,365,302,315 : x
  2. Step 2: Convert to fraction form
    1,617,303,482/2,365,302,315 = 2,365,302,315/x
  3. Step 3: Cross multiply
    1,617,303,482x = 2,365,302,315 × 2,365,302,315
  4. Step 4: Simplify right side
    1,617,303,482x = 5,594,655,041,344,359,424
  5. Step 5: Solve for x
    x = 5,594,655,041,344,359,424/1,617,303,482
  6. Step 6: Final answer
    x = 3,459,248,745.59

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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.