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Finding the Third Proportional to 3,364,824,112 and 7,362,889,712

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Solution

The third proportional to 3,364,824,112 and 7,362,889,712 is: 16,111,434,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364,824,112 : 7,362,889,712 = 7,362,889,712 : x
  2. Step 2: Convert to fraction form
    3,364,824,112/7,362,889,712 = 7,362,889,712/x
  3. Step 3: Cross multiply
    3,364,824,112x = 7,362,889,712 × 7,362,889,712
  4. Step 4: Simplify right side
    3,364,824,112x = 54,212,144,911,075,442,688
  5. Step 5: Solve for x
    x = 54,212,144,911,075,442,688/3,364,824,112
  6. Step 6: Final answer
    x = 16,111,434,983.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.