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Finding the Third Proportional to 347,884,276 and 745,567,135

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Solution

The third proportional to 347,884,276 and 745,567,135 is: 1,597,859,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,884,276 : 745,567,135 = 745,567,135 : x
  2. Step 2: Convert to fraction form
    347,884,276/745,567,135 = 745,567,135/x
  3. Step 3: Cross multiply
    347,884,276x = 745,567,135 × 745,567,135
  4. Step 4: Simplify right side
    347,884,276x = 555,870,352,792,108,224
  5. Step 5: Solve for x
    x = 555,870,352,792,108,224/347,884,276
  6. Step 6: Final answer
    x = 1,597,859,952.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.