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Finding the Third Proportional to 662,714,724 and 988,325,101.50

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Solution

The third proportional to 662,714,724 and 988,325,101.50 is: 1,473,917,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,714,724 : 988,325,101.50 = 988,325,101.50 : x
  2. Step 2: Convert to fraction form
    662,714,724/988,325,101.50 = 988,325,101.50/x
  3. Step 3: Cross multiply
    662,714,724x = 988,325,101.50 × 988,325,101.50
  4. Step 4: Simplify right side
    662,714,724x = 976,786,506,254,985,344
  5. Step 5: Solve for x
    x = 976,786,506,254,985,344/662,714,724
  6. Step 6: Final answer
    x = 1,473,917,012.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.