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Finding the Third Proportional to 9,447,254,587.69 and 20,296,507,275.14

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Solution

The third proportional to 9,447,254,587.69 and 20,296,507,275.14 is: 43,605,071,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,254,587.69 : 20,296,507,275.14 = 20,296,507,275.14 : x
  2. Step 2: Convert to fraction form
    9,447,254,587.69/20,296,507,275.14 = 20,296,507,275.14/x
  3. Step 3: Cross multiply
    9,447,254,587.69x = 20,296,507,275.14 × 20,296,507,275.14
  4. Step 4: Simplify right side
    9,447,254,587.69x = 411,948,207,569,851,514,880
  5. Step 5: Solve for x
    x = 411,948,207,569,851,514,880/9,447,254,587.69
  6. Step 6: Final answer
    x = 43,605,071,054.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.