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Finding the Third Proportional to 3,107,161,308 and 6,655,064,352

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Solution

The third proportional to 3,107,161,308 and 6,655,064,352 is: 14,254,130,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,161,308 : 6,655,064,352 = 6,655,064,352 : x
  2. Step 2: Convert to fraction form
    3,107,161,308/6,655,064,352 = 6,655,064,352/x
  3. Step 3: Cross multiply
    3,107,161,308x = 6,655,064,352 × 6,655,064,352
  4. Step 4: Simplify right side
    3,107,161,308x = 44,289,881,529,261,178,880
  5. Step 5: Solve for x
    x = 44,289,881,529,261,178,880/3,107,161,308
  6. Step 6: Final answer
    x = 14,254,130,101.08

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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.