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Finding the Third Proportional to 472,395,474 and 1,030,750,740

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Solution

The third proportional to 472,395,474 and 1,030,750,740 is: 2,249,062,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,395,474 : 1,030,750,740 = 1,030,750,740 : x
  2. Step 2: Convert to fraction form
    472,395,474/1,030,750,740 = 1,030,750,740/x
  3. Step 3: Cross multiply
    472,395,474x = 1,030,750,740 × 1,030,750,740
  4. Step 4: Simplify right side
    472,395,474x = 1,062,447,088,010,547,584
  5. Step 5: Solve for x
    x = 1,062,447,088,010,547,584/472,395,474
  6. Step 6: Final answer
    x = 2,249,062,801.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.