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Finding the Third Proportional to 75,495,574,753 and 113,132,927,356

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Solution

The third proportional to 75,495,574,753 and 113,132,927,356 is: 169,533,900,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,495,574,753 : 113,132,927,356 = 113,132,927,356 : x
  2. Step 2: Convert to fraction form
    75,495,574,753/113,132,927,356 = 113,132,927,356/x
  3. Step 3: Cross multiply
    75,495,574,753x = 113,132,927,356 × 113,132,927,356
  4. Step 4: Simplify right side
    75,495,574,753x = 12,799,059,252,137,972,203,520
  5. Step 5: Solve for x
    x = 12,799,059,252,137,972,203,520/75,495,574,753
  6. Step 6: Final answer
    x = 169,533,900,417.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.