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Finding the Third Proportional to 1,740,608,054 and 3,756,865,225

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Solution

The third proportional to 1,740,608,054 and 3,756,865,225 is: 8,108,681,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,608,054 : 3,756,865,225 = 3,756,865,225 : x
  2. Step 2: Convert to fraction form
    1,740,608,054/3,756,865,225 = 3,756,865,225/x
  3. Step 3: Cross multiply
    1,740,608,054x = 3,756,865,225 × 3,756,865,225
  4. Step 4: Simplify right side
    1,740,608,054x = 14,114,036,318,814,300,160
  5. Step 5: Solve for x
    x = 14,114,036,318,814,300,160/1,740,608,054
  6. Step 6: Final answer
    x = 8,108,681,495.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.