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Finding the Third Proportional to 12,092,709,842 and 26,509,942,618

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Solution

The third proportional to 12,092,709,842 and 26,509,942,618 is: 58,115,762,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092,709,842 : 26,509,942,618 = 26,509,942,618 : x
  2. Step 2: Convert to fraction form
    12,092,709,842/26,509,942,618 = 26,509,942,618/x
  3. Step 3: Cross multiply
    12,092,709,842x = 26,509,942,618 × 26,509,942,618
  4. Step 4: Simplify right side
    12,092,709,842x = 702,777,057,609,652,633,600
  5. Step 5: Solve for x
    x = 702,777,057,609,652,633,600/12,092,709,842
  6. Step 6: Final answer
    x = 58,115,762,868.04

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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.