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Finding the Third Proportional to 16,870,547,425 and 36,280,054,228

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Solution

The third proportional to 16,870,547,425 and 36,280,054,228 is: 78,020,131,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870,547,425 : 36,280,054,228 = 36,280,054,228 : x
  2. Step 2: Convert to fraction form
    16,870,547,425/36,280,054,228 = 36,280,054,228/x
  3. Step 3: Cross multiply
    16,870,547,425x = 36,280,054,228 × 36,280,054,228
  4. Step 4: Simplify right side
    16,870,547,425x = 1,316,242,334,786,620,751,872
  5. Step 5: Solve for x
    x = 1,316,242,334,786,620,751,872/16,870,547,425
  6. Step 6: Final answer
    x = 78,020,131,868.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.