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Finding the Third Proportional to 681,460,516.13 and 1,482,319,946.25

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Solution

The third proportional to 681,460,516.13 and 1,482,319,946.25 is: 3,224,357,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,460,516.13 : 1,482,319,946.25 = 1,482,319,946.25 : x
  2. Step 2: Convert to fraction form
    681,460,516.13/1,482,319,946.25 = 1,482,319,946.25/x
  3. Step 3: Cross multiply
    681,460,516.13x = 1,482,319,946.25 × 1,482,319,946.25
  4. Step 4: Simplify right side
    681,460,516.13x = 2,197,272,423,050,603,008
  5. Step 5: Solve for x
    x = 2,197,272,423,050,603,008/681,460,516.13
  6. Step 6: Final answer
    x = 3,224,357,642.24

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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.