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Finding the Third Proportional to 625,671,038 and 919,352,511

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Solution

The third proportional to 625,671,038 and 919,352,511 is: 1,350,884,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,671,038 : 919,352,511 = 919,352,511 : x
  2. Step 2: Convert to fraction form
    625,671,038/919,352,511 = 919,352,511/x
  3. Step 3: Cross multiply
    625,671,038x = 919,352,511 × 919,352,511
  4. Step 4: Simplify right side
    625,671,038x = 845,209,039,482,005,120
  5. Step 5: Solve for x
    x = 845,209,039,482,005,120/625,671,038
  6. Step 6: Final answer
    x = 1,350,884,071.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.