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Finding the Third Proportional to 1,271,036,785 and 2,742,721,585

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Solution

The third proportional to 1,271,036,785 and 2,742,721,585 is: 5,918,413,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,036,785 : 2,742,721,585 = 2,742,721,585 : x
  2. Step 2: Convert to fraction form
    1,271,036,785/2,742,721,585 = 2,742,721,585/x
  3. Step 3: Cross multiply
    1,271,036,785x = 2,742,721,585 × 2,742,721,585
  4. Step 4: Simplify right side
    1,271,036,785x = 7,522,521,692,824,911,872
  5. Step 5: Solve for x
    x = 7,522,521,692,824,911,872/1,271,036,785
  6. Step 6: Final answer
    x = 5,918,413,834.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.