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Finding the Third Proportional to 296,785,922 and 634,328,114

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Solution

The third proportional to 296,785,922 and 634,328,114 is: 1,355,765,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,785,922 : 634,328,114 = 634,328,114 : x
  2. Step 2: Convert to fraction form
    296,785,922/634,328,114 = 634,328,114/x
  3. Step 3: Cross multiply
    296,785,922x = 634,328,114 × 634,328,114
  4. Step 4: Simplify right side
    296,785,922x = 402,372,156,210,796,992
  5. Step 5: Solve for x
    x = 402,372,156,210,796,992/296,785,922
  6. Step 6: Final answer
    x = 1,355,765,642.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.