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Finding the Third Proportional to 30,030,916 and 65,566,511

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Solution

The third proportional to 30,030,916 and 65,566,511 is: 143,151,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030,916 : 65,566,511 = 65,566,511 : x
  2. Step 2: Convert to fraction form
    30,030,916/65,566,511 = 65,566,511/x
  3. Step 3: Cross multiply
    30,030,916x = 65,566,511 × 65,566,511
  4. Step 4: Simplify right side
    30,030,916x = 4,298,967,364,713,121
  5. Step 5: Solve for x
    x = 4,298,967,364,713,121/30,030,916
  6. Step 6: Final answer
    x = 143,151,389.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.