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Finding the Third Proportional to 9,703,417,524 and 14,905,636,425

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Solution

The third proportional to 9,703,417,524 and 14,905,636,425 is: 22,896,881,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703,417,524 : 14,905,636,425 = 14,905,636,425 : x
  2. Step 2: Convert to fraction form
    9,703,417,524/14,905,636,425 = 14,905,636,425/x
  3. Step 3: Cross multiply
    9,703,417,524x = 14,905,636,425 × 14,905,636,425
  4. Step 4: Simplify right side
    9,703,417,524x = 222,177,997,234,286,788,608
  5. Step 5: Solve for x
    x = 222,177,997,234,286,788,608/9,703,417,524
  6. Step 6: Final answer
    x = 22,896,881,092.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.