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Finding the Third Proportional to 7,497,652,409 and 15,615,880,951

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Solution

The third proportional to 7,497,652,409 and 15,615,880,951 is: 32,524,278,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497,652,409 : 15,615,880,951 = 15,615,880,951 : x
  2. Step 2: Convert to fraction form
    7,497,652,409/15,615,880,951 = 15,615,880,951/x
  3. Step 3: Cross multiply
    7,497,652,409x = 15,615,880,951 × 15,615,880,951
  4. Step 4: Simplify right side
    7,497,652,409x = 243,855,737,875,804,651,520
  5. Step 5: Solve for x
    x = 243,855,737,875,804,651,520/7,497,652,409
  6. Step 6: Final answer
    x = 32,524,278,877.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.