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Finding the Third Proportional to 346,946,482,803 and 760,914,916,590

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Solution

The third proportional to 346,946,482,803 and 760,914,916,590 is: 1,668,820,809,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,946,482,803 : 760,914,916,590 = 760,914,916,590 : x
  2. Step 2: Convert to fraction form
    346,946,482,803/760,914,916,590 = 760,914,916,590/x
  3. Step 3: Cross multiply
    346,946,482,803x = 760,914,916,590 × 760,914,916,590
  4. Step 4: Simplify right side
    346,946,482,803x = 578,991,510,289,166,645,592,064
  5. Step 5: Solve for x
    x = 578,991,510,289,166,645,592,064/346,946,482,803
  6. Step 6: Final answer
    x = 1,668,820,809,513.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.