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Finding the Third Proportional to 9,829,666,592 and 21,662,932,336

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Solution

The third proportional to 9,829,666,592 and 21,662,932,336 is: 47,741,460,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,666,592 : 21,662,932,336 = 21,662,932,336 : x
  2. Step 2: Convert to fraction form
    9,829,666,592/21,662,932,336 = 21,662,932,336/x
  3. Step 3: Cross multiply
    9,829,666,592x = 21,662,932,336 × 21,662,932,336
  4. Step 4: Simplify right side
    9,829,666,592x = 469,282,637,394,114,445,312
  5. Step 5: Solve for x
    x = 469,282,637,394,114,445,312/9,829,666,592
  6. Step 6: Final answer
    x = 47,741,460,303.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.