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Finding the Third Proportional to 294,390,924,534 and 640,362,185,370

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Solution

The third proportional to 294,390,924,534 and 640,362,185,370 is: 1,392,922,452,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,390,924,534 : 640,362,185,370 = 640,362,185,370 : x
  2. Step 2: Convert to fraction form
    294,390,924,534/640,362,185,370 = 640,362,185,370/x
  3. Step 3: Cross multiply
    294,390,924,534x = 640,362,185,370 × 640,362,185,370
  4. Step 4: Simplify right side
    294,390,924,534x = 410,063,728,451,842,264,268,800
  5. Step 5: Solve for x
    x = 410,063,728,451,842,264,268,800/294,390,924,534
  6. Step 6: Final answer
    x = 1,392,922,452,011.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.