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Finding the Third Proportional to 13,425,506 and 19,886,473

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Solution

The third proportional to 13,425,506 and 19,886,473 is: 29,456,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425,506 : 19,886,473 = 19,886,473 : x
  2. Step 2: Convert to fraction form
    13,425,506/19,886,473 = 19,886,473/x
  3. Step 3: Cross multiply
    13,425,506x = 19,886,473 × 19,886,473
  4. Step 4: Simplify right side
    13,425,506x = 395,471,808,379,729
  5. Step 5: Solve for x
    x = 395,471,808,379,729/13,425,506
  6. Step 6: Final answer
    x = 29,456,752.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.