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Finding the Third Proportional to 3,778,863,584 and 8,186,528,782.50

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Solution

The third proportional to 3,778,863,584 and 8,186,528,782.50 is: 17,735,293,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778,863,584 : 8,186,528,782.50 = 8,186,528,782.50 : x
  2. Step 2: Convert to fraction form
    3,778,863,584/8,186,528,782.50 = 8,186,528,782.50/x
  3. Step 3: Cross multiply
    3,778,863,584x = 8,186,528,782.50 × 8,186,528,782.50
  4. Step 4: Simplify right side
    3,778,863,584x = 67,019,253,506,700,935,168
  5. Step 5: Solve for x
    x = 67,019,253,506,700,935,168/3,778,863,584
  6. Step 6: Final answer
    x = 17,735,293,168.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.