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Finding the Third Proportional to 532,313,507 and 1,158,360,823

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Solution

The third proportional to 532,313,507 and 1,158,360,823 is: 2,520,694,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,313,507 : 1,158,360,823 = 1,158,360,823 : x
  2. Step 2: Convert to fraction form
    532,313,507/1,158,360,823 = 1,158,360,823/x
  3. Step 3: Cross multiply
    532,313,507x = 1,158,360,823 × 1,158,360,823
  4. Step 4: Simplify right side
    532,313,507x = 1,341,799,796,261,237,248
  5. Step 5: Solve for x
    x = 1,341,799,796,261,237,248/532,313,507
  6. Step 6: Final answer
    x = 2,520,694,625.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.