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Finding the Third Proportional to 16,870,547,502 and 36,280,054,382

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Solution

The third proportional to 16,870,547,502 and 36,280,054,382 is: 78,020,132,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870,547,502 : 36,280,054,382 = 36,280,054,382 : x
  2. Step 2: Convert to fraction form
    16,870,547,502/36,280,054,382 = 36,280,054,382/x
  3. Step 3: Cross multiply
    16,870,547,502x = 36,280,054,382 × 36,280,054,382
  4. Step 4: Simplify right side
    16,870,547,502x = 1,316,242,345,960,877,326,336
  5. Step 5: Solve for x
    x = 1,316,242,345,960,877,326,336/16,870,547,502
  6. Step 6: Final answer
    x = 78,020,132,174.42

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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.