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Finding the Third Proportional to 575,784,478 and 1,243,316,252

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Solution

The third proportional to 575,784,478 and 1,243,316,252 is: 2,684,746,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,784,478 : 1,243,316,252 = 1,243,316,252 : x
  2. Step 2: Convert to fraction form
    575,784,478/1,243,316,252 = 1,243,316,252/x
  3. Step 3: Cross multiply
    575,784,478x = 1,243,316,252 × 1,243,316,252
  4. Step 4: Simplify right side
    575,784,478x = 1,545,835,302,487,327,488
  5. Step 5: Solve for x
    x = 1,545,835,302,487,327,488/575,784,478
  6. Step 6: Final answer
    x = 2,684,746,396.53

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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.