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Finding the Third Proportional to 25,304,574,475 and 52,703,593,693

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Solution

The third proportional to 25,304,574,475 and 52,703,593,693 is: 109,769,432,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,304,574,475 : 52,703,593,693 = 52,703,593,693 : x
  2. Step 2: Convert to fraction form
    25,304,574,475/52,703,593,693 = 52,703,593,693/x
  3. Step 3: Cross multiply
    25,304,574,475x = 52,703,593,693 × 52,703,593,693
  4. Step 4: Simplify right side
    25,304,574,475x = 2,777,668,788,156,829,270,016
  5. Step 5: Solve for x
    x = 2,777,668,788,156,829,270,016/25,304,574,475
  6. Step 6: Final answer
    x = 109,769,432,831.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.