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Finding the Third Proportional to 766,913,210 and 1,677,315,940

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Solution

The third proportional to 766,913,210 and 1,677,315,940 is: 3,668,457,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,913,210 : 1,677,315,940 = 1,677,315,940 : x
  2. Step 2: Convert to fraction form
    766,913,210/1,677,315,940 = 1,677,315,940/x
  3. Step 3: Cross multiply
    766,913,210x = 1,677,315,940 × 1,677,315,940
  4. Step 4: Simplify right side
    766,913,210x = 2,813,388,762,578,083,840
  5. Step 5: Solve for x
    x = 2,813,388,762,578,083,840/766,913,210
  6. Step 6: Final answer
    x = 3,668,457,820.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.