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Finding the Third Proportional to 2,875,041,866 and 4,301,069,853

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Solution

The third proportional to 2,875,041,866 and 4,301,069,853 is: 6,434,411,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875,041,866 : 4,301,069,853 = 4,301,069,853 : x
  2. Step 2: Convert to fraction form
    2,875,041,866/4,301,069,853 = 4,301,069,853/x
  3. Step 3: Cross multiply
    2,875,041,866x = 4,301,069,853 × 4,301,069,853
  4. Step 4: Simplify right side
    2,875,041,866x = 18,499,201,880,385,441,792
  5. Step 5: Solve for x
    x = 18,499,201,880,385,441,792/2,875,041,866
  6. Step 6: Final answer
    x = 6,434,411,303.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.