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Finding the Third Proportional to 7,005,442,210 and 15,230,254,532

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Solution

The third proportional to 7,005,442,210 and 15,230,254,532 is: 33,111,493,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005,442,210 : 15,230,254,532 = 15,230,254,532 : x
  2. Step 2: Convert to fraction form
    7,005,442,210/15,230,254,532 = 15,230,254,532/x
  3. Step 3: Cross multiply
    7,005,442,210x = 15,230,254,532 × 15,230,254,532
  4. Step 4: Simplify right side
    7,005,442,210x = 231,960,653,109,506,539,520
  5. Step 5: Solve for x
    x = 231,960,653,109,506,539,520/7,005,442,210
  6. Step 6: Final answer
    x = 33,111,493,344.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.