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Finding the Third Proportional to 16,870,547,430 and 36,280,054,239

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Solution

The third proportional to 16,870,547,430 and 36,280,054,239 is: 78,020,131,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870,547,430 : 36,280,054,239 = 36,280,054,239 : x
  2. Step 2: Convert to fraction form
    16,870,547,430/36,280,054,239 = 36,280,054,239/x
  3. Step 3: Cross multiply
    16,870,547,430x = 36,280,054,239 × 36,280,054,239
  4. Step 4: Simplify right side
    16,870,547,430x = 1,316,242,335,584,781,860,864
  5. Step 5: Solve for x
    x = 1,316,242,335,584,781,860,864/16,870,547,430
  6. Step 6: Final answer
    x = 78,020,131,892.35

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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.