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Finding the Third Proportional to 37,411,762,362 and 81,409,502,964

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Solution

The third proportional to 37,411,762,362 and 81,409,502,964 is: 177,150,360,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411,762,362 : 81,409,502,964 = 81,409,502,964 : x
  2. Step 2: Convert to fraction form
    37,411,762,362/81,409,502,964 = 81,409,502,964/x
  3. Step 3: Cross multiply
    37,411,762,362x = 81,409,502,964 × 81,409,502,964
  4. Step 4: Simplify right side
    37,411,762,362x = 6,627,507,172,845,524,353,024
  5. Step 5: Solve for x
    x = 6,627,507,172,845,524,353,024/37,411,762,362
  6. Step 6: Final answer
    x = 177,150,360,058.35

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