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Finding the Third Proportional to 21,298,506 and 45,947,496

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Solution

The third proportional to 21,298,506 and 45,947,496 is: 99,123,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,298,506 : 45,947,496 = 45,947,496 : x
  2. Step 2: Convert to fraction form
    21,298,506/45,947,496 = 45,947,496/x
  3. Step 3: Cross multiply
    21,298,506x = 45,947,496 × 45,947,496
  4. Step 4: Simplify right side
    21,298,506x = 2,111,172,388,670,016
  5. Step 5: Solve for x
    x = 2,111,172,388,670,016/21,298,506
  6. Step 6: Final answer
    x = 99,123,027.16

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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.