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Finding the Third Proportional to 55,513,730 and 120,294,724

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Solution

The third proportional to 55,513,730 and 120,294,724 is: 260,671,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,513,730 : 120,294,724 = 120,294,724 : x
  2. Step 2: Convert to fraction form
    55,513,730/120,294,724 = 120,294,724/x
  3. Step 3: Cross multiply
    55,513,730x = 120,294,724 × 120,294,724
  4. Step 4: Simplify right side
    55,513,730x = 14,470,820,622,236,176
  5. Step 5: Solve for x
    x = 14,470,820,622,236,176/55,513,730
  6. Step 6: Final answer
    x = 260,671,019.98

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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.