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Finding the Third Proportional to 3,095,870,870 and 6,735,908,164

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Solution

The third proportional to 3,095,870,870 and 6,735,908,164 is: 14,655,798,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,870,870 : 6,735,908,164 = 6,735,908,164 : x
  2. Step 2: Convert to fraction form
    3,095,870,870/6,735,908,164 = 6,735,908,164/x
  3. Step 3: Cross multiply
    3,095,870,870x = 6,735,908,164 × 6,735,908,164
  4. Step 4: Simplify right side
    3,095,870,870x = 45,372,458,793,841,852,416
  5. Step 5: Solve for x
    x = 45,372,458,793,841,852,416/3,095,870,870
  6. Step 6: Final answer
    x = 14,655,798,222.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.