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Finding the Third Proportional to 640,258,926 and 1,377,585,660

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Solution

The third proportional to 640,258,926 and 1,377,585,660 is: 2,964,023,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,258,926 : 1,377,585,660 = 1,377,585,660 : x
  2. Step 2: Convert to fraction form
    640,258,926/1,377,585,660 = 1,377,585,660/x
  3. Step 3: Cross multiply
    640,258,926x = 1,377,585,660 × 1,377,585,660
  4. Step 4: Simplify right side
    640,258,926x = 1,897,742,250,637,635,584
  5. Step 5: Solve for x
    x = 1,897,742,250,637,635,584/640,258,926
  6. Step 6: Final answer
    x = 2,964,023,106.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.