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Finding the Third Proportional to 6,430,442,526 and 13,791,305,929.50

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Solution

The third proportional to 6,430,442,526 and 13,791,305,929.50 is: 29,578,076,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,442,526 : 13,791,305,929.50 = 13,791,305,929.50 : x
  2. Step 2: Convert to fraction form
    6,430,442,526/13,791,305,929.50 = 13,791,305,929.50/x
  3. Step 3: Cross multiply
    6,430,442,526x = 13,791,305,929.50 × 13,791,305,929.50
  4. Step 4: Simplify right side
    6,430,442,526x = 190,200,119,241,061,859,328
  5. Step 5: Solve for x
    x = 190,200,119,241,061,859,328/6,430,442,526
  6. Step 6: Final answer
    x = 29,578,076,232.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.