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Finding the Third Proportional to 669,799,396,388 and 1,029,529,694,262

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Solution

The third proportional to 669,799,396,388 and 1,029,529,694,262 is: 1,582,460,953,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,799,396,388 : 1,029,529,694,262 = 1,029,529,694,262 : x
  2. Step 2: Convert to fraction form
    669,799,396,388/1,029,529,694,262 = 1,029,529,694,262/x
  3. Step 3: Cross multiply
    669,799,396,388x = 1,029,529,694,262 × 1,029,529,694,262
  4. Step 4: Simplify right side
    669,799,396,388x = 1,059,931,391,367,207,159,070,720
  5. Step 5: Solve for x
    x = 1,059,931,391,367,207,159,070,720/669,799,396,388
  6. Step 6: Final answer
    x = 1,582,460,953,358.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.