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Finding the Third Proportional to 517,889,254.50 and 1,109,648,808

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Solution

The third proportional to 517,889,254.50 and 1,109,648,808 is: 2,377,574,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,889,254.50 : 1,109,648,808 = 1,109,648,808 : x
  2. Step 2: Convert to fraction form
    517,889,254.50/1,109,648,808 = 1,109,648,808/x
  3. Step 3: Cross multiply
    517,889,254.50x = 1,109,648,808 × 1,109,648,808
  4. Step 4: Simplify right side
    517,889,254.50x = 1,231,320,477,095,820,800
  5. Step 5: Solve for x
    x = 1,231,320,477,095,820,800/517,889,254.50
  6. Step 6: Final answer
    x = 2,377,574,870.30

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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.