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Finding the Third Proportional to 1,047,730,086 and 1,746,111,573

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Solution

The third proportional to 1,047,730,086 and 1,746,111,573 is: 2,910,010,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,730,086 : 1,746,111,573 = 1,746,111,573 : x
  2. Step 2: Convert to fraction form
    1,047,730,086/1,746,111,573 = 1,746,111,573/x
  3. Step 3: Cross multiply
    1,047,730,086x = 1,746,111,573 × 1,746,111,573
  4. Step 4: Simplify right side
    1,047,730,086x = 3,048,905,625,364,534,272
  5. Step 5: Solve for x
    x = 3,048,905,625,364,534,272/1,047,730,086
  6. Step 6: Final answer
    x = 2,910,010,570.57

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.