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Finding the Third Proportional to 2,186,175,684 and 4,720,708,368

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Solution

The third proportional to 2,186,175,684 and 4,720,708,368 is: 10,193,639,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,175,684 : 4,720,708,368 = 4,720,708,368 : x
  2. Step 2: Convert to fraction form
    2,186,175,684/4,720,708,368 = 4,720,708,368/x
  3. Step 3: Cross multiply
    2,186,175,684x = 4,720,708,368 × 4,720,708,368
  4. Step 4: Simplify right side
    2,186,175,684x = 22,285,087,495,705,223,168
  5. Step 5: Solve for x
    x = 22,285,087,495,705,223,168/2,186,175,684
  6. Step 6: Final answer
    x = 10,193,639,815.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.