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Finding the Third Proportional to 691,688,518 and 1,506,190,034

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Solution

The third proportional to 691,688,518 and 1,506,190,034 is: 3,279,812,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,688,518 : 1,506,190,034 = 1,506,190,034 : x
  2. Step 2: Convert to fraction form
    691,688,518/1,506,190,034 = 1,506,190,034/x
  3. Step 3: Cross multiply
    691,688,518x = 1,506,190,034 × 1,506,190,034
  4. Step 4: Simplify right side
    691,688,518x = 2,268,608,418,520,921,088
  5. Step 5: Solve for x
    x = 2,268,608,418,520,921,088/691,688,518
  6. Step 6: Final answer
    x = 3,279,812,169.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.