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Finding the Third Proportional to 37,411,762,360 and 81,409,502,960

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Solution

The third proportional to 37,411,762,360 and 81,409,502,960 is: 177,150,360,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411,762,360 : 81,409,502,960 = 81,409,502,960 : x
  2. Step 2: Convert to fraction form
    37,411,762,360/81,409,502,960 = 81,409,502,960/x
  3. Step 3: Cross multiply
    37,411,762,360x = 81,409,502,960 × 81,409,502,960
  4. Step 4: Simplify right side
    37,411,762,360x = 6,627,507,172,194,248,556,544
  5. Step 5: Solve for x
    x = 6,627,507,172,194,248,556,544/37,411,762,360
  6. Step 6: Final answer
    x = 177,150,360,050.41

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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.