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Finding the Third Proportional to 822,684,624 and 1,779,554,407

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Solution

The third proportional to 822,684,624 and 1,779,554,407 is: 3,849,365,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,684,624 : 1,779,554,407 = 1,779,554,407 : x
  2. Step 2: Convert to fraction form
    822,684,624/1,779,554,407 = 1,779,554,407/x
  3. Step 3: Cross multiply
    822,684,624x = 1,779,554,407 × 1,779,554,407
  4. Step 4: Simplify right side
    822,684,624x = 3,166,813,887,473,121,792
  5. Step 5: Solve for x
    x = 3,166,813,887,473,121,792/822,684,624
  6. Step 6: Final answer
    x = 3,849,365,595.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.