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Finding the Third Proportional to 2,357,392,712 and 3,928,751,070

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Solution

The third proportional to 2,357,392,712 and 3,928,751,070 is: 6,547,523,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,392,712 : 3,928,751,070 = 3,928,751,070 : x
  2. Step 2: Convert to fraction form
    2,357,392,712/3,928,751,070 = 3,928,751,070/x
  3. Step 3: Cross multiply
    2,357,392,712x = 3,928,751,070 × 3,928,751,070
  4. Step 4: Simplify right side
    2,357,392,712x = 15,435,084,970,026,145,792
  5. Step 5: Solve for x
    x = 15,435,084,970,026,145,792/2,357,392,712
  6. Step 6: Final answer
    x = 6,547,523,834.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.