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Finding the Third Proportional to 3,140,908,421 and 6,805,273,258

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Solution

The third proportional to 3,140,908,421 and 6,805,273,258 is: 14,744,697,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,908,421 : 6,805,273,258 = 6,805,273,258 : x
  2. Step 2: Convert to fraction form
    3,140,908,421/6,805,273,258 = 6,805,273,258/x
  3. Step 3: Cross multiply
    3,140,908,421x = 6,805,273,258 × 6,805,273,258
  4. Step 4: Simplify right side
    3,140,908,421x = 46,311,744,116,049,936,384
  5. Step 5: Solve for x
    x = 46,311,744,116,049,936,384/3,140,908,421
  6. Step 6: Final answer
    x = 14,744,697,364.12

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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.