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Finding the Third Proportional to 2,167,271,420 and 4,748,594,428

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Solution

The third proportional to 2,167,271,420 and 4,748,594,428 is: 10,404,395,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167,271,420 : 4,748,594,428 = 4,748,594,428 : x
  2. Step 2: Convert to fraction form
    2,167,271,420/4,748,594,428 = 4,748,594,428/x
  3. Step 3: Cross multiply
    2,167,271,420x = 4,748,594,428 × 4,748,594,428
  4. Step 4: Simplify right side
    2,167,271,420x = 22,549,149,041,632,649,216
  5. Step 5: Solve for x
    x = 22,549,149,041,632,649,216/2,167,271,420
  6. Step 6: Final answer
    x = 10,404,395,514.81

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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.