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Finding the Third Proportional to 953,730,315 and 1,288,169,140.50

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Solution

The third proportional to 953,730,315 and 1,288,169,140.50 is: 1,739,883,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,730,315 : 1,288,169,140.50 = 1,288,169,140.50 : x
  2. Step 2: Convert to fraction form
    953,730,315/1,288,169,140.50 = 1,288,169,140.50/x
  3. Step 3: Cross multiply
    953,730,315x = 1,288,169,140.50 × 1,288,169,140.50
  4. Step 4: Simplify right side
    953,730,315x = 1,659,379,734,536,508,672
  5. Step 5: Solve for x
    x = 1,659,379,734,536,508,672/953,730,315
  6. Step 6: Final answer
    x = 1,739,883,600.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.