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Finding the Third Proportional to 16,870,547,517 and 36,280,054,410

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Solution

The third proportional to 16,870,547,517 and 36,280,054,410 is: 78,020,132,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870,547,517 : 36,280,054,410 = 36,280,054,410 : x
  2. Step 2: Convert to fraction form
    16,870,547,517/36,280,054,410 = 36,280,054,410/x
  3. Step 3: Cross multiply
    16,870,547,517x = 36,280,054,410 × 36,280,054,410
  4. Step 4: Simplify right side
    16,870,547,517x = 1,316,242,347,992,560,435,200
  5. Step 5: Solve for x
    x = 1,316,242,347,992,560,435,200/16,870,547,517
  6. Step 6: Final answer
    x = 78,020,132,225.48

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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.