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Finding the Third Proportional to 297,851,053,610 and 417,943,990,731

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Solution

The third proportional to 297,851,053,610 and 417,943,990,731 is: 586,458,155,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,851,053,610 : 417,943,990,731 = 417,943,990,731 : x
  2. Step 2: Convert to fraction form
    297,851,053,610/417,943,990,731 = 417,943,990,731/x
  3. Step 3: Cross multiply
    297,851,053,610x = 417,943,990,731 × 417,943,990,731
  4. Step 4: Simplify right side
    297,851,053,610x = 174,677,179,388,154,230,079,488
  5. Step 5: Solve for x
    x = 174,677,179,388,154,230,079,488/297,851,053,610
  6. Step 6: Final answer
    x = 586,458,155,077.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.