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Finding the Third Proportional to 53,683,796 and 85,142,586

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Solution

The third proportional to 53,683,796 and 85,142,586 is: 135,036,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683,796 : 85,142,586 = 85,142,586 : x
  2. Step 2: Convert to fraction form
    53,683,796/85,142,586 = 85,142,586/x
  3. Step 3: Cross multiply
    53,683,796x = 85,142,586 × 85,142,586
  4. Step 4: Simplify right side
    53,683,796x = 7,249,259,950,767,396
  5. Step 5: Solve for x
    x = 7,249,259,950,767,396/53,683,796
  6. Step 6: Final answer
    x = 135,036,277.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.