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Finding the Third Proportional to 15,923,897,510 and 24,724,886,594

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Solution

The third proportional to 15,923,897,510 and 24,724,886,594 is: 38,390,099,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923,897,510 : 24,724,886,594 = 24,724,886,594 : x
  2. Step 2: Convert to fraction form
    15,923,897,510/24,724,886,594 = 24,724,886,594/x
  3. Step 3: Cross multiply
    15,923,897,510x = 24,724,886,594 × 24,724,886,594
  4. Step 4: Simplify right side
    15,923,897,510x = 611,320,017,086,160,961,536
  5. Step 5: Solve for x
    x = 611,320,017,086,160,961,536/15,923,897,510
  6. Step 6: Final answer
    x = 38,390,099,955.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.