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Finding the Third Proportional to 1,442,518,209 and 2,286,017,811

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Solution

The third proportional to 1,442,518,209 and 2,286,017,811 is: 3,622,746,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,518,209 : 2,286,017,811 = 2,286,017,811 : x
  2. Step 2: Convert to fraction form
    1,442,518,209/2,286,017,811 = 2,286,017,811/x
  3. Step 3: Cross multiply
    1,442,518,209x = 2,286,017,811 × 2,286,017,811
  4. Step 4: Simplify right side
    1,442,518,209x = 5,225,877,432,209,231,872
  5. Step 5: Solve for x
    x = 5,225,877,432,209,231,872/1,442,518,209
  6. Step 6: Final answer
    x = 3,622,746,250.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.