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Finding the Third Proportional to 681,460,522 and 1,482,319,957

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Solution

The third proportional to 681,460,522 and 1,482,319,957 is: 3,224,357,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,460,522 : 1,482,319,957 = 1,482,319,957 : x
  2. Step 2: Convert to fraction form
    681,460,522/1,482,319,957 = 1,482,319,957/x
  3. Step 3: Cross multiply
    681,460,522x = 1,482,319,957 × 1,482,319,957
  4. Step 4: Simplify right side
    681,460,522x = 2,197,272,454,920,481,792
  5. Step 5: Solve for x
    x = 2,197,272,454,920,481,792/681,460,522
  6. Step 6: Final answer
    x = 3,224,357,661.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.