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Finding the Third Proportional to 974,117,736,582 and 1,490,291,065,161

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Solution

The third proportional to 974,117,736,582 and 1,490,291,065,161 is: 2,279,978,462,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,117,736,582 : 1,490,291,065,161 = 1,490,291,065,161 : x
  2. Step 2: Convert to fraction form
    974,117,736,582/1,490,291,065,161 = 1,490,291,065,161/x
  3. Step 3: Cross multiply
    974,117,736,582x = 1,490,291,065,161 × 1,490,291,065,161
  4. Step 4: Simplify right side
    974,117,736,582x = 2,220,967,458,898,708,059,389,952
  5. Step 5: Solve for x
    x = 2,220,967,458,898,708,059,389,952/974,117,736,582
  6. Step 6: Final answer
    x = 2,279,978,462,040.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.