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Finding the Third Proportional to 654,387,219 and 1,431,911,281.50

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Solution

The third proportional to 654,387,219 and 1,431,911,281.50 is: 3,133,267,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,387,219 : 1,431,911,281.50 = 1,431,911,281.50 : x
  2. Step 2: Convert to fraction form
    654,387,219/1,431,911,281.50 = 1,431,911,281.50/x
  3. Step 3: Cross multiply
    654,387,219x = 1,431,911,281.50 × 1,431,911,281.50
  4. Step 4: Simplify right side
    654,387,219x = 2,050,369,918,086,972,160
  5. Step 5: Solve for x
    x = 2,050,369,918,086,972,160/654,387,219
  6. Step 6: Final answer
    x = 3,133,267,060.47

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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.