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Finding the Third Proportional to 1,662,529,948 and 3,588,654,636

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Solution

The third proportional to 1,662,529,948 and 3,588,654,636 is: 7,746,291,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,529,948 : 3,588,654,636 = 3,588,654,636 : x
  2. Step 2: Convert to fraction form
    1,662,529,948/3,588,654,636 = 3,588,654,636/x
  3. Step 3: Cross multiply
    1,662,529,948x = 3,588,654,636 × 3,588,654,636
  4. Step 4: Simplify right side
    1,662,529,948x = 12,878,442,096,484,292,608
  5. Step 5: Solve for x
    x = 12,878,442,096,484,292,608/1,662,529,948
  6. Step 6: Final answer
    x = 7,746,291,795.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.