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Finding the Third Proportional to 6,153,657 and 13,488,201

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Solution

The third proportional to 6,153,657 and 13,488,201 is: 29,564,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153,657 : 13,488,201 = 13,488,201 : x
  2. Step 2: Convert to fraction form
    6,153,657/13,488,201 = 13,488,201/x
  3. Step 3: Cross multiply
    6,153,657x = 13,488,201 × 13,488,201
  4. Step 4: Simplify right side
    6,153,657x = 181,931,566,216,401
  5. Step 5: Solve for x
    x = 181,931,566,216,401/6,153,657
  6. Step 6: Final answer
    x = 29,564,788.26

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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.