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Finding the Third Proportional to 463,756,160 and 1,000,148,264

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Solution

The third proportional to 463,756,160 and 1,000,148,264 is: 2,156,945,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,756,160 : 1,000,148,264 = 1,000,148,264 : x
  2. Step 2: Convert to fraction form
    463,756,160/1,000,148,264 = 1,000,148,264/x
  3. Step 3: Cross multiply
    463,756,160x = 1,000,148,264 × 1,000,148,264
  4. Step 4: Simplify right side
    463,756,160x = 1,000,296,549,982,213,632
  5. Step 5: Solve for x
    x = 1,000,296,549,982,213,632/463,756,160
  6. Step 6: Final answer
    x = 2,156,945,041.94

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