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Finding the Third Proportional to 406,006,045,744.10 and 870,950,502,980.80

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Solution

The third proportional to 406,006,045,744.10 and 870,950,502,980.80 is: 1,868,333,702,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,006,045,744.10 : 870,950,502,980.80 = 870,950,502,980.80 : x
  2. Step 2: Convert to fraction form
    406,006,045,744.10/870,950,502,980.80 = 870,950,502,980.80/x
  3. Step 3: Cross multiply
    406,006,045,744.10x = 870,950,502,980.80 × 870,950,502,980.80
  4. Step 4: Simplify right side
    406,006,045,744.10x = 758,554,778,642,508,595,331,072
  5. Step 5: Solve for x
    x = 758,554,778,642,508,595,331,072/406,006,045,744.10
  6. Step 6: Final answer
    x = 1,868,333,702,401.60

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1.5x scale

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.