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Finding the Third Proportional to 388,421,262 and 832,108,014

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Solution

The third proportional to 388,421,262 and 832,108,014 is: 1,782,610,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,421,262 : 832,108,014 = 832,108,014 : x
  2. Step 2: Convert to fraction form
    388,421,262/832,108,014 = 832,108,014/x
  3. Step 3: Cross multiply
    388,421,262x = 832,108,014 × 832,108,014
  4. Step 4: Simplify right side
    388,421,262x = 692,403,746,963,024,256
  5. Step 5: Solve for x
    x = 692,403,746,963,024,256/388,421,262
  6. Step 6: Final answer
    x = 1,782,610,311.80

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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.