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Finding the Third Proportional to 292,433,031 and 650,249,913

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Solution

The third proportional to 292,433,031 and 650,249,913 is: 1,445,886,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,433,031 : 650,249,913 = 650,249,913 : x
  2. Step 2: Convert to fraction form
    292,433,031/650,249,913 = 650,249,913/x
  3. Step 3: Cross multiply
    292,433,031x = 650,249,913 × 650,249,913
  4. Step 4: Simplify right side
    292,433,031x = 422,824,949,356,507,584
  5. Step 5: Solve for x
    x = 422,824,949,356,507,584/292,433,031
  6. Step 6: Final answer
    x = 1,445,886,423.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.