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Finding the Third Proportional to 356,870,004 and 545,562,154

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Solution

The third proportional to 356,870,004 and 545,562,154 is: 834,023,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,870,004 : 545,562,154 = 545,562,154 : x
  2. Step 2: Convert to fraction form
    356,870,004/545,562,154 = 545,562,154/x
  3. Step 3: Cross multiply
    356,870,004x = 545,562,154 × 545,562,154
  4. Step 4: Simplify right side
    356,870,004x = 297,638,063,877,119,744
  5. Step 5: Solve for x
    x = 297,638,063,877,119,744/356,870,004
  6. Step 6: Final answer
    x = 834,023,763.67

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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.