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Finding the Third Proportional to 1,240,845,271.50 and 2,677,781,355

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Solution

The third proportional to 1,240,845,271.50 and 2,677,781,355 is: 5,778,732,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,845,271.50 : 2,677,781,355 = 2,677,781,355 : x
  2. Step 2: Convert to fraction form
    1,240,845,271.50/2,677,781,355 = 2,677,781,355/x
  3. Step 3: Cross multiply
    1,240,845,271.50x = 2,677,781,355 × 2,677,781,355
  4. Step 4: Simplify right side
    1,240,845,271.50x = 7,170,512,985,185,636,352
  5. Step 5: Solve for x
    x = 7,170,512,985,185,636,352/1,240,845,271.50
  6. Step 6: Final answer
    x = 5,778,732,570.35

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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.