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Finding the Third Proportional to 531,656,453,898 and 1,143,948,426,669

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Solution

The third proportional to 531,656,453,898 and 1,143,948,426,669 is: 2,461,397,756,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,656,453,898 : 1,143,948,426,669 = 1,143,948,426,669 : x
  2. Step 2: Convert to fraction form
    531,656,453,898/1,143,948,426,669 = 1,143,948,426,669/x
  3. Step 3: Cross multiply
    531,656,453,898x = 1,143,948,426,669 × 1,143,948,426,669
  4. Step 4: Simplify right side
    531,656,453,898x = 1,308,618,002,878,480,355,688,448
  5. Step 5: Solve for x
    x = 1,308,618,002,878,480,355,688,448/531,656,453,898
  6. Step 6: Final answer
    x = 2,461,397,756,547.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.