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Finding the Third Proportional to 37,411,762,352 and 81,409,502,944

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Solution

The third proportional to 37,411,762,352 and 81,409,502,944 is: 177,150,360,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411,762,352 : 81,409,502,944 = 81,409,502,944 : x
  2. Step 2: Convert to fraction form
    37,411,762,352/81,409,502,944 = 81,409,502,944/x
  3. Step 3: Cross multiply
    37,411,762,352x = 81,409,502,944 × 81,409,502,944
  4. Step 4: Simplify right side
    37,411,762,352x = 6,627,507,169,589,144,322,048
  5. Step 5: Solve for x
    x = 6,627,507,169,589,144,322,048/37,411,762,352
  6. Step 6: Final answer
    x = 177,150,360,018.66

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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.