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Finding the Third Proportional to 297,952,047 and 465,032,352

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Solution

The third proportional to 297,952,047 and 465,032,352 is: 725,805,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,952,047 : 465,032,352 = 465,032,352 : x
  2. Step 2: Convert to fraction form
    297,952,047/465,032,352 = 465,032,352/x
  3. Step 3: Cross multiply
    297,952,047x = 465,032,352 × 465,032,352
  4. Step 4: Simplify right side
    297,952,047x = 216,255,088,406,651,904
  5. Step 5: Solve for x
    x = 216,255,088,406,651,904/297,952,047
  6. Step 6: Final answer
    x = 725,805,009.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.