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Finding the Third Proportional to 1,034,197,347 and 1,646,407,923.50

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Solution

The third proportional to 1,034,197,347 and 1,646,407,923.50 is: 2,621,026,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,197,347 : 1,646,407,923.50 = 1,646,407,923.50 : x
  2. Step 2: Convert to fraction form
    1,034,197,347/1,646,407,923.50 = 1,646,407,923.50/x
  3. Step 3: Cross multiply
    1,034,197,347x = 1,646,407,923.50 × 1,646,407,923.50
  4. Step 4: Simplify right side
    1,034,197,347x = 2,710,659,050,563,581,952
  5. Step 5: Solve for x
    x = 2,710,659,050,563,581,952/1,034,197,347
  6. Step 6: Final answer
    x = 2,621,026,884.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.