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Finding the Third Proportional to 360,034,056 and 785,484,840

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Solution

The third proportional to 360,034,056 and 785,484,840 is: 1,713,689,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,034,056 : 785,484,840 = 785,484,840 : x
  2. Step 2: Convert to fraction form
    360,034,056/785,484,840 = 785,484,840/x
  3. Step 3: Cross multiply
    360,034,056x = 785,484,840 × 785,484,840
  4. Step 4: Simplify right side
    360,034,056x = 616,986,433,869,825,536
  5. Step 5: Solve for x
    x = 616,986,433,869,825,536/360,034,056
  6. Step 6: Final answer
    x = 1,713,689,090.21

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Why These Related Problems?

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