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Finding the Third Proportional to 7,439,430,772 and 16,062,313,300

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Solution

The third proportional to 7,439,430,772 and 16,062,313,300 is: 34,679,791,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439,430,772 : 16,062,313,300 = 16,062,313,300 : x
  2. Step 2: Convert to fraction form
    7,439,430,772/16,062,313,300 = 16,062,313,300/x
  3. Step 3: Cross multiply
    7,439,430,772x = 16,062,313,300 × 16,062,313,300
  4. Step 4: Simplify right side
    7,439,430,772x = 257,997,908,547,356,884,992
  5. Step 5: Solve for x
    x = 257,997,908,547,356,884,992/7,439,430,772
  6. Step 6: Final answer
    x = 34,679,791,566.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.