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Finding the Third Proportional to 63,854,106 and 140,069,135

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Solution

The third proportional to 63,854,106 and 140,069,135 is: 307,252,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,854,106 : 140,069,135 = 140,069,135 : x
  2. Step 2: Convert to fraction form
    63,854,106/140,069,135 = 140,069,135/x
  3. Step 3: Cross multiply
    63,854,106x = 140,069,135 × 140,069,135
  4. Step 4: Simplify right side
    63,854,106x = 19,619,362,579,648,224
  5. Step 5: Solve for x
    x = 19,619,362,579,648,224/63,854,106
  6. Step 6: Final answer
    x = 307,252,952.22

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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.