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Finding the Third Proportional to 765,388,344,570 and 1,639,948,884,260

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Solution

The third proportional to 765,388,344,570 and 1,639,948,884,260 is: 3,513,814,081,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,388,344,570 : 1,639,948,884,260 = 1,639,948,884,260 : x
  2. Step 2: Convert to fraction form
    765,388,344,570/1,639,948,884,260 = 1,639,948,884,260/x
  3. Step 3: Cross multiply
    765,388,344,570x = 1,639,948,884,260 × 1,639,948,884,260
  4. Step 4: Simplify right side
    765,388,344,570x = 2,689,432,342,985,618,615,173,120
  5. Step 5: Solve for x
    x = 2,689,432,342,985,618,615,173,120/765,388,344,570
  6. Step 6: Final answer
    x = 3,513,814,081,525.58

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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.