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Finding the Third Proportional to 65,975,049 and 136,475,730

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Solution

The third proportional to 65,975,049 and 136,475,730 is: 282,313,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975,049 : 136,475,730 = 136,475,730 : x
  2. Step 2: Convert to fraction form
    65,975,049/136,475,730 = 136,475,730/x
  3. Step 3: Cross multiply
    65,975,049x = 136,475,730 × 136,475,730
  4. Step 4: Simplify right side
    65,975,049x = 18,625,624,879,032,900
  5. Step 5: Solve for x
    x = 18,625,624,879,032,900/65,975,049
  6. Step 6: Final answer
    x = 282,313,164.77

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.