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Finding the Third Proportional to 714,587,133 and 1,547,888,999

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Solution

The third proportional to 714,587,133 and 1,547,888,999 is: 3,352,929,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,587,133 : 1,547,888,999 = 1,547,888,999 : x
  2. Step 2: Convert to fraction form
    714,587,133/1,547,888,999 = 1,547,888,999/x
  3. Step 3: Cross multiply
    714,587,133x = 1,547,888,999 × 1,547,888,999
  4. Step 4: Simplify right side
    714,587,133x = 2,395,960,353,225,222,144
  5. Step 5: Solve for x
    x = 2,395,960,353,225,222,144/714,587,133
  6. Step 6: Final answer
    x = 3,352,929,604.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.