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Finding the Third Proportional to 29,944,933,153 and 46,515,506,718

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Solution

The third proportional to 29,944,933,153 and 46,515,506,718 is: 72,255,708,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,944,933,153 : 46,515,506,718 = 46,515,506,718 : x
  2. Step 2: Convert to fraction form
    29,944,933,153/46,515,506,718 = 46,515,506,718/x
  3. Step 3: Cross multiply
    29,944,933,153x = 46,515,506,718 × 46,515,506,718
  4. Step 4: Simplify right side
    29,944,933,153x = 2,163,692,365,232,303,243,264
  5. Step 5: Solve for x
    x = 2,163,692,365,232,303,243,264/29,944,933,153
  6. Step 6: Final answer
    x = 72,255,708,642.83

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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.