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Finding the Third Proportional to 747,944,991 and 1,117,731,325.50

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Solution

The third proportional to 747,944,991 and 1,117,731,325.50 is: 1,670,341,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,944,991 : 1,117,731,325.50 = 1,117,731,325.50 : x
  2. Step 2: Convert to fraction form
    747,944,991/1,117,731,325.50 = 1,117,731,325.50/x
  3. Step 3: Cross multiply
    747,944,991x = 1,117,731,325.50 × 1,117,731,325.50
  4. Step 4: Simplify right side
    747,944,991x = 1,249,323,316,003,986,944
  5. Step 5: Solve for x
    x = 1,249,323,316,003,986,944/747,944,991
  6. Step 6: Final answer
    x = 1,670,341,176.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.