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Finding the Third Proportional to 9,865,459,548 and 23,280,718,747.50

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Solution

The third proportional to 9,865,459,548 and 23,280,718,747.50 is: 54,938,329,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,459,548 : 23,280,718,747.50 = 23,280,718,747.50 : x
  2. Step 2: Convert to fraction form
    9,865,459,548/23,280,718,747.50 = 23,280,718,747.50/x
  3. Step 3: Cross multiply
    9,865,459,548x = 23,280,718,747.50 × 23,280,718,747.50
  4. Step 4: Simplify right side
    9,865,459,548x = 541,991,865,400,197,971,968
  5. Step 5: Solve for x
    x = 541,991,865,400,197,971,968/9,865,459,548
  6. Step 6: Final answer
    x = 54,938,329,305.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.