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Finding the Third Proportional to 691,689,400.31 and 1,506,191,220

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Solution

The third proportional to 691,689,400.31 and 1,506,191,220 is: 3,279,813,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,689,400.31 : 1,506,191,220 = 1,506,191,220 : x
  2. Step 2: Convert to fraction form
    691,689,400.31/1,506,191,220 = 1,506,191,220/x
  3. Step 3: Cross multiply
    691,689,400.31x = 1,506,191,220 × 1,506,191,220
  4. Step 4: Simplify right side
    691,689,400.31x = 2,268,611,991,205,088,512
  5. Step 5: Solve for x
    x = 2,268,611,991,205,088,512/691,689,400.31
  6. Step 6: Final answer
    x = 3,279,813,150.50

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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.