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Finding the Third Proportional to 2,176,245,414 and 4,721,975,149.50

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Solution

The third proportional to 2,176,245,414 and 4,721,975,149.50 is: 10,245,650,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,245,414 : 4,721,975,149.50 = 4,721,975,149.50 : x
  2. Step 2: Convert to fraction form
    2,176,245,414/4,721,975,149.50 = 4,721,975,149.50/x
  3. Step 3: Cross multiply
    2,176,245,414x = 4,721,975,149.50 × 4,721,975,149.50
  4. Step 4: Simplify right side
    2,176,245,414x = 22,297,049,312,495,546,368
  5. Step 5: Solve for x
    x = 22,297,049,312,495,546,368/2,176,245,414
  6. Step 6: Final answer
    x = 10,245,650,223.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.