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Finding the Third Proportional to 296,785,809.84 and 634,327,885.34

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Solution

The third proportional to 296,785,809.84 and 634,327,885.34 is: 1,355,765,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,785,809.84 : 634,327,885.34 = 634,327,885.34 : x
  2. Step 2: Convert to fraction form
    296,785,809.84/634,327,885.34 = 634,327,885.34/x
  3. Step 3: Cross multiply
    296,785,809.84x = 634,327,885.34 × 634,327,885.34
  4. Step 4: Simplify right side
    296,785,809.84x = 402,371,866,114,778,176
  5. Step 5: Solve for x
    x = 402,371,866,114,778,176/296,785,809.84
  6. Step 6: Final answer
    x = 1,355,765,177.34

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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.