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Finding the Third Proportional to 693,668,060 and 1,618,614,707

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Solution

The third proportional to 693,668,060 and 1,618,614,707 is: 3,776,898,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,668,060 : 1,618,614,707 = 1,618,614,707 : x
  2. Step 2: Convert to fraction form
    693,668,060/1,618,614,707 = 1,618,614,707/x
  3. Step 3: Cross multiply
    693,668,060x = 1,618,614,707 × 1,618,614,707
  4. Step 4: Simplify right side
    693,668,060x = 2,619,913,569,716,696,064
  5. Step 5: Solve for x
    x = 2,619,913,569,716,696,064/693,668,060
  6. Step 6: Final answer
    x = 3,776,898,088.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.