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Finding the Third Proportional to 2,147,182,666 and 4,696,291,220

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Solution

The third proportional to 2,147,182,666 and 4,696,291,220 is: 10,271,669,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,182,666 : 4,696,291,220 = 4,696,291,220 : x
  2. Step 2: Convert to fraction form
    2,147,182,666/4,696,291,220 = 4,696,291,220/x
  3. Step 3: Cross multiply
    2,147,182,666x = 4,696,291,220 × 4,696,291,220
  4. Step 4: Simplify right side
    2,147,182,666x = 22,055,151,223,049,089,024
  5. Step 5: Solve for x
    x = 22,055,151,223,049,089,024/2,147,182,666
  6. Step 6: Final answer
    x = 10,271,669,743.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.