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Finding the Third Proportional to 575,052,700.50 and 822,331,689.75

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Solution

The third proportional to 575,052,700.50 and 822,331,689.75 is: 1,175,943,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,052,700.50 : 822,331,689.75 = 822,331,689.75 : x
  2. Step 2: Convert to fraction form
    575,052,700.50/822,331,689.75 = 822,331,689.75/x
  3. Step 3: Cross multiply
    575,052,700.50x = 822,331,689.75 × 822,331,689.75
  4. Step 4: Simplify right side
    575,052,700.50x = 676,229,407,967,090,304
  5. Step 5: Solve for x
    x = 676,229,407,967,090,304/575,052,700.50
  6. Step 6: Final answer
    x = 1,175,943,365.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.