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Finding the Third Proportional to 540,700,291,206 and 1,125,897,958,001

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Solution

The third proportional to 540,700,291,206 and 1,125,897,958,001 is: 2,344,452,615,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,700,291,206 : 1,125,897,958,001 = 1,125,897,958,001 : x
  2. Step 2: Convert to fraction form
    540,700,291,206/1,125,897,958,001 = 1,125,897,958,001/x
  3. Step 3: Cross multiply
    540,700,291,206x = 1,125,897,958,001 × 1,125,897,958,001
  4. Step 4: Simplify right side
    540,700,291,206x = 1,267,646,211,830,821,563,662,336
  5. Step 5: Solve for x
    x = 1,267,646,211,830,821,563,662,336/540,700,291,206
  6. Step 6: Final answer
    x = 2,344,452,615,335.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.