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Finding the Third Proportional to 2,989,801,938.16 and 6,406,057,798.95

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Solution

The third proportional to 2,989,801,938.16 and 6,406,057,798.95 is: 13,725,851,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,801,938.16 : 6,406,057,798.95 = 6,406,057,798.95 : x
  2. Step 2: Convert to fraction form
    2,989,801,938.16/6,406,057,798.95 = 6,406,057,798.95/x
  3. Step 3: Cross multiply
    2,989,801,938.16x = 6,406,057,798.95 × 6,406,057,798.95
  4. Step 4: Simplify right side
    2,989,801,938.16x = 41,037,576,523,426,619,392
  5. Step 5: Solve for x
    x = 41,037,576,523,426,619,392/2,989,801,938.16
  6. Step 6: Final answer
    x = 13,725,851,200.91

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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.