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Finding the Third Proportional to 1,870,596,545 and 2,615,204,066

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Solution

The third proportional to 1,870,596,545 and 2,615,204,066 is: 3,656,209,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,596,545 : 2,615,204,066 = 2,615,204,066 : x
  2. Step 2: Convert to fraction form
    1,870,596,545/2,615,204,066 = 2,615,204,066/x
  3. Step 3: Cross multiply
    1,870,596,545x = 2,615,204,066 × 2,615,204,066
  4. Step 4: Simplify right side
    1,870,596,545x = 6,839,292,306,822,932,480
  5. Step 5: Solve for x
    x = 6,839,292,306,822,932,480/1,870,596,545
  6. Step 6: Final answer
    x = 3,656,209,205.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.