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Finding the Third Proportional to 42,296,564,859 and 63,989,729,313

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Solution

The third proportional to 42,296,564,859 and 63,989,729,313 is: 96,808,936,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296,564,859 : 63,989,729,313 = 63,989,729,313 : x
  2. Step 2: Convert to fraction form
    42,296,564,859/63,989,729,313 = 63,989,729,313/x
  3. Step 3: Cross multiply
    42,296,564,859x = 63,989,729,313 × 63,989,729,313
  4. Step 4: Simplify right side
    42,296,564,859x = 4,094,685,457,551,011,610,624
  5. Step 5: Solve for x
    x = 4,094,685,457,551,011,610,624/42,296,564,859
  6. Step 6: Final answer
    x = 96,808,936,404.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.