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Finding the Third Proportional to 220,835,688 and 464,516,778

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Solution

The third proportional to 220,835,688 and 464,516,778 is: 977,087,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,688 : 464,516,778 = 464,516,778 : x
  2. Step 2: Convert to fraction form
    220,835,688/464,516,778 = 464,516,778/x
  3. Step 3: Cross multiply
    220,835,688x = 464,516,778 × 464,516,778
  4. Step 4: Simplify right side
    220,835,688x = 215,775,837,043,501,280
  5. Step 5: Solve for x
    x = 215,775,837,043,501,280/220,835,688
  6. Step 6: Final answer
    x = 977,087,711.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.