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Finding the Third Proportional to 4,482,345,980 and 6,698,814,321

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Solution

The third proportional to 4,482,345,980 and 6,698,814,321 is: 10,011,300,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482,345,980 : 6,698,814,321 = 6,698,814,321 : x
  2. Step 2: Convert to fraction form
    4,482,345,980/6,698,814,321 = 6,698,814,321/x
  3. Step 3: Cross multiply
    4,482,345,980x = 6,698,814,321 × 6,698,814,321
  4. Step 4: Simplify right side
    4,482,345,980x = 44,874,113,307,234,689,024
  5. Step 5: Solve for x
    x = 44,874,113,307,234,689,024/4,482,345,980
  6. Step 6: Final answer
    x = 10,011,300,668.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.