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Finding the Third Proportional to 3,140,908,420 and 6,805,273,256

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Solution

The third proportional to 3,140,908,420 and 6,805,273,256 is: 14,744,697,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,908,420 : 6,805,273,256 = 6,805,273,256 : x
  2. Step 2: Convert to fraction form
    3,140,908,420/6,805,273,256 = 6,805,273,256/x
  3. Step 3: Cross multiply
    3,140,908,420x = 6,805,273,256 × 6,805,273,256
  4. Step 4: Simplify right side
    3,140,908,420x = 46,311,744,088,828,837,888
  5. Step 5: Solve for x
    x = 46,311,744,088,828,837,888/3,140,908,420
  6. Step 6: Final answer
    x = 14,744,697,360.14

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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.