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Finding the Third Proportional to 77,297,590 and 168,484,082

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Solution

The third proportional to 77,297,590 and 168,484,082 is: 367,241,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,297,590 : 168,484,082 = 168,484,082 : x
  2. Step 2: Convert to fraction form
    77,297,590/168,484,082 = 168,484,082/x
  3. Step 3: Cross multiply
    77,297,590x = 168,484,082 × 168,484,082
  4. Step 4: Simplify right side
    77,297,590x = 28,386,885,887,382,724
  5. Step 5: Solve for x
    x = 28,386,885,887,382,724/77,297,590
  6. Step 6: Final answer
    x = 367,241,538.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.