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Finding the Third Proportional to 48,837,563,942 and 105,788,537,984

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Solution

The third proportional to 48,837,563,942 and 105,788,537,984 is: 229,151,781,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,837,563,942 : 105,788,537,984 = 105,788,537,984 : x
  2. Step 2: Convert to fraction form
    48,837,563,942/105,788,537,984 = 105,788,537,984/x
  3. Step 3: Cross multiply
    48,837,563,942x = 105,788,537,984 × 105,788,537,984
  4. Step 4: Simplify right side
    48,837,563,942x = 11,191,214,768,792,209,981,440
  5. Step 5: Solve for x
    x = 11,191,214,768,792,209,981,440/48,837,563,942
  6. Step 6: Final answer
    x = 229,151,781,241.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.