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Finding the Third Proportional to 74,662,964,376.75 and 109,159,864,744.50

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Solution

The third proportional to 74,662,964,376.75 and 109,159,864,744.50 is: 159,595,539,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,662,964,376.75 : 109,159,864,744.50 = 109,159,864,744.50 : x
  2. Step 2: Convert to fraction form
    74,662,964,376.75/109,159,864,744.50 = 109,159,864,744.50/x
  3. Step 3: Cross multiply
    74,662,964,376.75x = 109,159,864,744.50 × 109,159,864,744.50
  4. Step 4: Simplify right side
    74,662,964,376.75x = 11,915,876,071,037,533,683,712
  5. Step 5: Solve for x
    x = 11,915,876,071,037,533,683,712/74,662,964,376.75
  6. Step 6: Final answer
    x = 159,595,539,374.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.