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Finding the Third Proportional to 9,299,724 and 19,705,746

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Solution

The third proportional to 9,299,724 and 19,705,746 is: 41,755,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299,724 : 19,705,746 = 19,705,746 : x
  2. Step 2: Convert to fraction form
    9,299,724/19,705,746 = 19,705,746/x
  3. Step 3: Cross multiply
    9,299,724x = 19,705,746 × 19,705,746
  4. Step 4: Simplify right side
    9,299,724x = 388,316,425,416,516
  5. Step 5: Solve for x
    x = 388,316,425,416,516/9,299,724
  6. Step 6: Final answer
    x = 41,755,693.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.