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Finding the Third Proportional to 30,363,502.11 and 65,565,291.80

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Solution

The third proportional to 30,363,502.11 and 65,565,291.80 is: 141,578,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,363,502.11 : 65,565,291.80 = 65,565,291.80 : x
  2. Step 2: Convert to fraction form
    30,363,502.11/65,565,291.80 = 65,565,291.80/x
  3. Step 3: Cross multiply
    30,363,502.11x = 65,565,291.80 × 65,565,291.80
  4. Step 4: Simplify right side
    30,363,502.11x = 4,298,807,488,409,364
  5. Step 5: Solve for x
    x = 4,298,807,488,409,364/30,363,502.11
  6. Step 6: Final answer
    x = 141,578,118.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.