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Finding the Third Proportional to 42,701,473,742 and 88,937,322,490

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Solution

The third proportional to 42,701,473,742 and 88,937,322,490 is: 185,235,933,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,701,473,742 : 88,937,322,490 = 88,937,322,490 : x
  2. Step 2: Convert to fraction form
    42,701,473,742/88,937,322,490 = 88,937,322,490/x
  3. Step 3: Cross multiply
    42,701,473,742x = 88,937,322,490 × 88,937,322,490
  4. Step 4: Simplify right side
    42,701,473,742x = 7,909,847,331,690,259,677,184
  5. Step 5: Solve for x
    x = 7,909,847,331,690,259,677,184/42,701,473,742
  6. Step 6: Final answer
    x = 185,235,933,061.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.