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Finding the Third Proportional to 1,225,152,526 and 2,688,351,740

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Solution

The third proportional to 1,225,152,526 and 2,688,351,740 is: 5,899,049,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,152,526 : 2,688,351,740 = 2,688,351,740 : x
  2. Step 2: Convert to fraction form
    1,225,152,526/2,688,351,740 = 2,688,351,740/x
  3. Step 3: Cross multiply
    1,225,152,526x = 2,688,351,740 × 2,688,351,740
  4. Step 4: Simplify right side
    1,225,152,526x = 7,227,235,077,961,027,584
  5. Step 5: Solve for x
    x = 7,227,235,077,961,027,584/1,225,152,526
  6. Step 6: Final answer
    x = 5,899,049,240.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.