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Finding the Third Proportional to 19,357,643 and 29,713,224

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Solution

The third proportional to 19,357,643 and 29,713,224 is: 45,608,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357,643 : 29,713,224 = 29,713,224 : x
  2. Step 2: Convert to fraction form
    19,357,643/29,713,224 = 29,713,224/x
  3. Step 3: Cross multiply
    19,357,643x = 29,713,224 × 29,713,224
  4. Step 4: Simplify right side
    19,357,643x = 882,875,680,474,176
  5. Step 5: Solve for x
    x = 882,875,680,474,176/19,357,643
  6. Step 6: Final answer
    x = 45,608,635.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.