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Finding the Third Proportional to 69,413,712,415.50 and 97,749,803,047.50

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Solution

The third proportional to 69,413,712,415.50 and 97,749,803,047.50 is: 137,653,262,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,413,712,415.50 : 97,749,803,047.50 = 97,749,803,047.50 : x
  2. Step 2: Convert to fraction form
    69,413,712,415.50/97,749,803,047.50 = 97,749,803,047.50/x
  3. Step 3: Cross multiply
    69,413,712,415.50x = 97,749,803,047.50 × 97,749,803,047.50
  4. Step 4: Simplify right side
    69,413,712,415.50x = 9,555,023,995,825,039,605,760
  5. Step 5: Solve for x
    x = 9,555,023,995,825,039,605,760/69,413,712,415.50
  6. Step 6: Final answer
    x = 137,653,262,782.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.