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Finding the Third Proportional to 2,744,539,248 and 4,240,768,152

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Solution

The third proportional to 2,744,539,248 and 4,240,768,152 is: 6,552,689,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744,539,248 : 4,240,768,152 = 4,240,768,152 : x
  2. Step 2: Convert to fraction form
    2,744,539,248/4,240,768,152 = 4,240,768,152/x
  3. Step 3: Cross multiply
    2,744,539,248x = 4,240,768,152 × 4,240,768,152
  4. Step 4: Simplify right side
    2,744,539,248x = 17,984,114,519,017,494,528
  5. Step 5: Solve for x
    x = 17,984,114,519,017,494,528/2,744,539,248
  6. Step 6: Final answer
    x = 6,552,689,866.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.