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Finding the Third Proportional to 3,112,319,232 and 6,721,569,702

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Solution

The third proportional to 3,112,319,232 and 6,721,569,702 is: 14,516,344,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112,319,232 : 6,721,569,702 = 6,721,569,702 : x
  2. Step 2: Convert to fraction form
    3,112,319,232/6,721,569,702 = 6,721,569,702/x
  3. Step 3: Cross multiply
    3,112,319,232x = 6,721,569,702 × 6,721,569,702
  4. Step 4: Simplify right side
    3,112,319,232x = 45,179,499,258,844,364,800
  5. Step 5: Solve for x
    x = 45,179,499,258,844,364,800/3,112,319,232
  6. Step 6: Final answer
    x = 14,516,344,851.24

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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.