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Finding the Third Proportional to 679,716,775.13 and 1,049,601,655.13

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Solution

The third proportional to 679,716,775.13 and 1,049,601,655.13 is: 1,620,768,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,716,775.13 : 1,049,601,655.13 = 1,049,601,655.13 : x
  2. Step 2: Convert to fraction form
    679,716,775.13/1,049,601,655.13 = 1,049,601,655.13/x
  3. Step 3: Cross multiply
    679,716,775.13x = 1,049,601,655.13 × 1,049,601,655.13
  4. Step 4: Simplify right side
    679,716,775.13x = 1,101,663,634,441,139,456
  5. Step 5: Solve for x
    x = 1,101,663,634,441,139,456/679,716,775.13
  6. Step 6: Final answer
    x = 1,620,768,641.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.