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Finding the Third Proportional to 242,293,402 and 528,991,651

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Solution

The third proportional to 242,293,402 and 528,991,651 is: 1,154,931,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,293,402 : 528,991,651 = 528,991,651 : x
  2. Step 2: Convert to fraction form
    242,293,402/528,991,651 = 528,991,651/x
  3. Step 3: Cross multiply
    242,293,402x = 528,991,651 × 528,991,651
  4. Step 4: Simplify right side
    242,293,402x = 279,832,166,827,705,792
  5. Step 5: Solve for x
    x = 279,832,166,827,705,792/242,293,402
  6. Step 6: Final answer
    x = 1,154,931,023.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.