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Finding the Third Proportional to 10,362,964 and 16,254,403

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Solution

The third proportional to 10,362,964 and 16,254,403 is: 25,495,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362,964 : 16,254,403 = 16,254,403 : x
  2. Step 2: Convert to fraction form
    10,362,964/16,254,403 = 16,254,403/x
  3. Step 3: Cross multiply
    10,362,964x = 16,254,403 × 16,254,403
  4. Step 4: Simplify right side
    10,362,964x = 264,205,616,886,409
  5. Step 5: Solve for x
    x = 264,205,616,886,409/10,362,964
  6. Step 6: Final answer
    x = 25,495,178.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.