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Finding the Third Proportional to 30,363,508.13 and 65,565,302.63

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Solution

The third proportional to 30,363,508.13 and 65,565,302.63 is: 141,578,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,363,508.13 : 65,565,302.63 = 65,565,302.63 : x
  2. Step 2: Convert to fraction form
    30,363,508.13/65,565,302.63 = 65,565,302.63/x
  3. Step 3: Cross multiply
    30,363,508.13x = 65,565,302.63 × 65,565,302.63
  4. Step 4: Simplify right side
    30,363,508.13x = 4,298,808,908,307,832
  5. Step 5: Solve for x
    x = 4,298,808,908,307,832/30,363,508.13
  6. Step 6: Final answer
    x = 141,578,136.84

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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.