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Finding the Third Proportional to 42,463,726,688 and 65,933,030,909.50

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Solution

The third proportional to 42,463,726,688 and 65,933,030,909.50 is: 102,373,599,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,463,726,688 : 65,933,030,909.50 = 65,933,030,909.50 : x
  2. Step 2: Convert to fraction form
    42,463,726,688/65,933,030,909.50 = 65,933,030,909.50/x
  3. Step 3: Cross multiply
    42,463,726,688x = 65,933,030,909.50 × 65,933,030,909.50
  4. Step 4: Simplify right side
    42,463,726,688x = 4,347,164,564,913,082,335,232
  5. Step 5: Solve for x
    x = 4,347,164,564,913,082,335,232/42,463,726,688
  6. Step 6: Final answer
    x = 102,373,599,869.22

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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.