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Finding the Third Proportional to 1,034,387,952 and 2,298,358,248

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Solution

The third proportional to 1,034,387,952 and 2,298,358,248 is: 5,106,836,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,387,952 : 2,298,358,248 = 2,298,358,248 : x
  2. Step 2: Convert to fraction form
    1,034,387,952/2,298,358,248 = 2,298,358,248/x
  3. Step 3: Cross multiply
    1,034,387,952x = 2,298,358,248 × 2,298,358,248
  4. Step 4: Simplify right side
    1,034,387,952x = 5,282,450,636,149,629,952
  5. Step 5: Solve for x
    x = 5,282,450,636,149,629,952/1,034,387,952
  6. Step 6: Final answer
    x = 5,106,836,971.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.